8. In your groups…. Two faucets are dripping. One faucet will drip every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same time, how many seconds will it be before you see the faucets drip at the same time again?
10. Least Common Multiple What does Multiple mean? Give an example of a multiple of 4 Give an example of a multiple of 8 What would be the least common multiple?
11. Question of the Day What should I check first when finding the least common multiple?
12. Table of Contents Date: 8/18 Section: 5-1 Title: LCM Pages: 13 and 14
13. Steps to finding LCM Check to see if one of the numbers IS the LCM Find prime factor of all numbers (list form) 2 x 2 x 3 x 3 Line up the common factors Multiple one number from each column
14. Just Watch! Find LCM of 6 and 20 6 = 2 • 3 Write the prime factorization of each number. 20 = 2 • 2 • 5 Line up the common factors. 2 • 3 • 2 • 5 To find the LCM, multiply one number from each column. 2 • 3 • 2 • 5= 60 LCM: 60
15. Let’s Try Together! Find LCM of 4 and 10 #1 4 = 2 • 2 Write the prime factorization of each number. 10 = 2 • 5 Line up the common factors. 2 • 2 • 5 To find the LCM, multiply one number from each column. 2 • 2 • 5= 20 LCM: 20
16. You Try!! Find LCM of 12, 6, 8 #2 12 = 22 • 3 Write the prime factorization of each number in exponential form. 6 = 2 • 3 8 = 23 To find the LCM, multiply each prime factor once with the greatest exponent used in any of the prime factorizations. 23• 3 23• 3= 24 LCM: 24
17. You Got This! LCM 15,6,4 #3 15 = 3 • 5 Write the prime factorization of each number in exponential form. 6 = 3 • 2 4 = 22 To find the LCM, multiply each prime factor once with the greatest exponent used in any of the prime factorizations. 3 • 5 • 22 3 • 5 • 22 = 60 LCM: 60