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7-4 Common Multiples
      and LCM
       Math Notes
     Number Sense 2.4
Example
Find the Least Common Multiple (GCF) of 4 and 6.
Example
Find the Least Common Multiple (GCF) of 4 and 6.

STEP ONE: List the MULTIPLES of 4.
Example
Find the Least Common Multiple (GCF) of 4 and 6.

STEP ONE: List the MULTIPLES of 4.


   4:
Example
Find the Least Common Multiple (GCF) of 4 and 6.

STEP ONE: List the MULTIPLES of 4.


   4: 4,8,12,16,20,24,28
Example
Find the Least Common Multiple (GCF) of 4 and 6.




   4: 4,8,12,16,20,24,28
Example
Find the Least Common Multiple (GCF) of 4 and 6.

STEP TWO: List the MULTIPLES of 6.


   4: 4,8,12,16,20,24,28
Example
Find the Least Common Multiple (GCF) of 4 and 6.

STEP TWO: List the MULTIPLES of 6.


   4: 4,8,12,16,20,24,28
   6:
Example
Find the Least Common Multiple (GCF) of 4 and 6.

STEP TWO: List the MULTIPLES of 6.


   4: 4,8,12,16,20,24,28
   6: 6,12,18,24,30,36
Example
Find the Least Common Multiple (GCF) of 4 and 6.




   4: 4,8,12,16,20,24,28
   6: 6,12,18,24,30,36
Example
    Find the Least Common Multiple (GCF) of 4 and 6.


STEP THREE: Find the common multiples in both list.


        4: 4,8,12,16,20,24,28
        6: 6,12,18,24,30,36
Example
Find the Least Common Multiple (GCF) of 4 and 6.




   4: 4,8,12,16,20,24,28
   6: 6,12,18,24,30,36
Example
Find the Least Common Multiple (GCF) of 4 and 6.




   4: 4,8,12,16,20,24,28
   6: 6,12,18,24,30,36
                                   Which is the
                                    common
                                    multiple?
Example
Find the Least Common Multiple (GCF) of 4 and 6.




   4: 4,8,12,16,20,24,28
   6: 6,12,18,24,30,36
                                   Which is the
            LCM is 24               common
                                    multiple?
Example
Find the Least Common Multiple (GCF) of 9 and 15.
Example
Find the Least Common Multiple (GCF) of 9 and 15.

STEP ONE: List the MULTIPLES of 9.
Example
Find the Least Common Multiple (GCF) of 9 and 15.

STEP ONE: List the MULTIPLES of 9.


    9:
Example
Find the Least Common Multiple (GCF) of 9 and 15.

STEP ONE: List the MULTIPLES of 9.


    9: 9,18,27,36,45,54,60
Example
Find the Least Common Multiple (GCF) of 9 and 15.




    9: 9,18,27,36,45,54,60
Example
Find the Least Common Multiple (GCF) of 9 and 15.

STEP TWO: List the MULTIPLES of 15.


    9: 9,18,27,36,45,54,60
Example
Find the Least Common Multiple (GCF) of 9 and 15.

STEP TWO: List the MULTIPLES of 15.


    9: 9,18,27,36,45,54,60
   15:
Example
Find the Least Common Multiple (GCF) of 9 and 15.

STEP TWO: List the MULTIPLES of 15.


    9: 9,18,27,36,45,54,60
   15: 15,30,45,60,75,90
Example
Find the Least Common Multiple (GCF) of 9 and 15.




    9: 9,18,27,36,45,54,60
   15: 15,30,45,60,75,90
Example
    Find the Least Common Multiple (GCF) of 9 and 15.

STEP THREE: Find the common multiples in both list.


        9: 9,18,27,36,45,54,60
       15: 15,30,45,60,75,90
Example
Find the Least Common Multiple (GCF) of 9 and 15.




    9: 9,18,27,36,45,54,60
   15: 15,30,45,60,75,90
Example
Find the Least Common Multiple (GCF) of 9 and 15.




    9: 9,18,27,36,45,54,60
   15: 15,30,45,60,75,90
                                   Which is the
                                    common
                                    multiple?
Example
Find the Least Common Multiple (GCF) of 9 and 15.




    9: 9,18,27,36,45,54,60
   15: 15,30,45,60,75,90
                                   Which is the
            LCM is 45               common
                                    multiple?
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


  STEP ONE: List the multiples of 8.
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


  STEP ONE: List the multiples of 8.

 8:
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


  STEP ONE: List the multiples of 8.

 8:      8,16,24,32,40,48,56
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.




 8:      8,16,24,32,40,48,56
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


   STEP TWO: List the multiples of 10.

 8:      8,16,24,32,40,48,56
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


   STEP TWO: List the multiples of 10.

 8:      8,16,24,32,40,48,56
10:
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


   STEP TWO: List the multiples of 10.

 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.




 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


STEP THREE: List the multiples of 40.

 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


STEP THREE: List the multiples of 40.

 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40:
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.


STEP THREE: List the multiples of 40.

 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.




 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
Example
   Find the Least Common Multiple (LCM) of 8, 10, and 40.


STEP FOUR: Find the common multiples in all 3 lists.

   8: 8,16,24,32,40,48,56
  10: 10,20,30,40,50,60,70
  40: 40,80,120,160,200,240
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.




 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.




 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
                                   Which multiple
                                   do they have in
                                      common?
Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.




 8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
                                   Which multiple
       LCM is 40                   do they have in
                                      common?

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7-4 Common Multiples and LCM

  • 1. 7-4 Common Multiples and LCM Math Notes Number Sense 2.4
  • 2. Example Find the Least Common Multiple (GCF) of 4 and 6.
  • 3. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP ONE: List the MULTIPLES of 4.
  • 4. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP ONE: List the MULTIPLES of 4. 4:
  • 5. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP ONE: List the MULTIPLES of 4. 4: 4,8,12,16,20,24,28
  • 6. Example Find the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28
  • 7. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP TWO: List the MULTIPLES of 6. 4: 4,8,12,16,20,24,28
  • 8. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP TWO: List the MULTIPLES of 6. 4: 4,8,12,16,20,24,28 6:
  • 9. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP TWO: List the MULTIPLES of 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  • 10. Example Find the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  • 11. Example Find the Least Common Multiple (GCF) of 4 and 6. STEP THREE: Find the common multiples in both list. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  • 12. Example Find the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36
  • 13. Example Find the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36 Which is the common multiple?
  • 14. Example Find the Least Common Multiple (GCF) of 4 and 6. 4: 4,8,12,16,20,24,28 6: 6,12,18,24,30,36 Which is the LCM is 24 common multiple?
  • 15. Example Find the Least Common Multiple (GCF) of 9 and 15.
  • 16. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP ONE: List the MULTIPLES of 9.
  • 17. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP ONE: List the MULTIPLES of 9. 9:
  • 18. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP ONE: List the MULTIPLES of 9. 9: 9,18,27,36,45,54,60
  • 19. Example Find the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60
  • 20. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP TWO: List the MULTIPLES of 15. 9: 9,18,27,36,45,54,60
  • 21. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP TWO: List the MULTIPLES of 15. 9: 9,18,27,36,45,54,60 15:
  • 22. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP TWO: List the MULTIPLES of 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  • 23. Example Find the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  • 24. Example Find the Least Common Multiple (GCF) of 9 and 15. STEP THREE: Find the common multiples in both list. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  • 25. Example Find the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90
  • 26. Example Find the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90 Which is the common multiple?
  • 27. Example Find the Least Common Multiple (GCF) of 9 and 15. 9: 9,18,27,36,45,54,60 15: 15,30,45,60,75,90 Which is the LCM is 45 common multiple?
  • 28. Example Find the Least Common Multiple (LCM) of 8, 10, and 40.
  • 29. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP ONE: List the multiples of 8.
  • 30. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP ONE: List the multiples of 8. 8:
  • 31. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP ONE: List the multiples of 8. 8: 8,16,24,32,40,48,56
  • 32. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56
  • 33. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,56
  • 34. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,56 10:
  • 35. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP TWO: List the multiples of 10. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70
  • 36. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70
  • 37. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70
  • 38. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40:
  • 39. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP THREE: List the multiples of 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240
  • 40. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240
  • 41. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. STEP FOUR: Find the common multiples in all 3 lists. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240
  • 42. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240
  • 43. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240 Which multiple do they have in common?
  • 44. Example Find the Least Common Multiple (LCM) of 8, 10, and 40. 8: 8,16,24,32,40,48,56 10: 10,20,30,40,50,60,70 40: 40,80,120,160,200,240 Which multiple LCM is 40 do they have in common?

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