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01What Do We Have in Common? Unit

CMath Vo abulary common multiple: a number that is a multiple of two or more numbers

least common multiple (LCM): the smallest common multiple of two or more numbers

Objective: Learn how to find common multiples and the least common multiples Have students find the multiples, common
multiples, and lowest common multiple of 3
Learn about the least common multiple. and 4, 4 and 6, 6 and 9, and 4 and 10.

The least common multiple (LCM) is the smallest common Example: Find the multiples of 3 and 4.
multiple of two or more numbers. How do you create a list of multiples of 3?
Multiply 3 by 1, 2, 3…
Find the multiples and common multiples of the two numbers. How do you create a list of multiples of 4?
Then find the least common multiple. Multiply 4 by 1, 2, 3…
What are the common multiples? Numbers
3 and 4 4 and 6 that are divisible by 3 and 4 (on both lists) 12,
24…
Multiples of 3: 3, 6, 9, 12, 15, 18, Multiples of 4: 4, 8, 12, 16, 20, 24, What is the least common multiple of 3
Multiples of 4: 4, 8, 12, 16, 20, Multiples of 6: 6, 12, 18, 24, 30, and 4? The smallest number that is divisible
Common multiples: 12, 24, Common multiples: 12, 24, by 3 and 4: 12.
The LCM: 12 The LCM: 12

6 and 9 4 and 10

Multiples of 6: 6, 12, 18, 24, 30, 36, Multiples of 4: 4, 8, 12, 16, 20, 24,
Multiples of 9: 9, 18, 27, 36, 45, Multiples of 10: 10, 20, 30, 40, 50,
Common multiples: 18, 36, Common multiples: 20, 40,
The LCM: 18 The LCM: 20

1. What Do We Have in Common? 3

Students who find the idea of multiples intimidating may need more time to master the concept. Try going
slowly over the following example with students who seem to be struggling with the new material.
Example: Find the lowest common multiple of 12 and 20
Step 1: List the multiples of 12.

12, 24, 36, 48, 60
Step 2: List the multiples of 20.

20, 30, 60, 80, 100
Step 3: Find the smallest number that is on both lists this is the least common multiple.

60

6A Unit 01 005
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