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
- 11. Attachments