The document discusses finding the least common multiple (LCM) of numbers. It provides examples of finding the LCM of pairs of numbers by listing their multiples and finding the smallest number that is a multiple of both. It also introduces finding the LCM using prime factorizations and Venn diagrams, showing how to find the greatest power of each prime factor and multiply them to get the LCM. Students are given practice problems to find the LCM of various number pairs using these methods.
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Ch. 5.1 - Least Common Multiple
1. Agenda Monday, Nov. 16 Homework 5 p. 239 # 10 - 17, 22 - 30, 49 - 52 Please check to see if you have any missing assignments - turn them in or come for working lunch Daily Scribe? - Least Common Multiple Introduction of Thanksgiving project.
2. What is the least common multiple? The least common multiple of two numbers is the smallest number (not including 0 or 1) that is a multiple of both. Example : What is the LCM of 3 and 4? Multiples of 3: 3, 6, 9, 12, 15, 18... Multiples of 4: 4, 8, 12, 16, 20... The least common multiple of 3 and 4 is 12.
3. Find the LCM of the following number pairs. Multiples of 4: Multiples of 5: The LCM of 4 and 5 is: Multiples of 6: Multiples of 8: The LCM of 6 and 8 is:
4. Multiples of 10: Multiples of 30: The LCM of 10 and 30 is: Multiples of 8: Multiples of 24: The LCM of 8 and 24 is: Find the LCM of the following number pairs.
5. You can also find the LCM using prime factorization. 2 12 2 8 Write the prime factorization 2 6 2 4 3 2 Use the GREATEST power of 2 2 * 3 2 3 each factor. 2 3 * 3 8 * 3 = 24 Write the Least Common Multiple as a product.
6. Use a venn diagram. 3 * 5 2 * 2 * 3 5 2 3 2 Use the venn diagram just like for GCF. But multiply all the prime factors for the LCM 12 15 2 * 2 * 3 * 5 2 2 * 3 * 5 4 * 3 * 5 = 60
7. Find the LCM of the following number pairs using the venn diagram method. 8 and 15 15 and 36
8. Find the LCM of the following number pairs using the venn diagram method. 32 and 12 24 and 10
9. Now for variable expressions 3 * 5 * a * b * b 2 * 2 * 3 * a * b * c 5 2 3 2 a b b c 12abc 15ab 2 2 * 2 * 3 * 5 * a * b * b * c 2 2 * 3 * 5ab 2 c 4 * 3 * 5ab 2 c 60ab 2 c
