1. LCM

2. Warm Up Find the Greatest Common Factor: 40 and 32 28 and 42

4. Warm Up Answers
40 and 32 = 8
28 and 42 = 14
18, 24, and 36 = 6

5. LCM Notes #7 Objective: As a learner I will be able to…
Define Multiple and Least Common Multiple.
Find LCM for 2 or more numbers using different methods.

6. Vocabulary
Multiple: The product of a number. (“Answer” to that numbers time tables)
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
Multiples of 12: 12, 24, 36, 48, 60, 72, 84
Least Common Multiple (LCM): The smallest number that is the multiple of two or more given numbers.

7. Finding Multiples: A multiple of 7 is 14
(7 x 2 = 14 so 14 is a multiple of 7)
Find the first five multiples: 6: 9:

8. LCM – Listing Method
List the multiples of each number. Find the smallest one in common.
Find the LCM of 3 and 7: 3: 7:

9. LCM – Listing Method
Ex: Use the listing method to find the LCM of 8 and 12. 8:
12:

10. LCM – Prime Factorization Method
Find the prime factorization of each number.
Look for common prime numbers. Find the GCF.
Multiply the GCF by the remaining factors.

11. LCM – Prime Factorization Method
Use the Prime Factorization method to find the LCM of 6 and 8.

12. LCM – Prime Factorization Method
Use the Prime Factorization Method to find the LCM of 9 and 15.

13. Practice
Dan goes to the health club every 4 days. His sister Nancy goes there every 6 days. Dan and Nancy both went to the health club today. When will they both go there on the same day again?
Answer: In 12 Days

14. Practice
Find the LCM of 9, 12, and 18
Answer: 36

15. Practice
A new clothing store was having a grand opening sale. Every 8th customer got a free t-shirt and every 18th customer got a free hat. Who was the first customer to receive both items for free?
Answer: Customer 72