Multiples. What are Multiples? A list of multiples for a particular number are that number’s times...

Multiples

What are Multiples?

A list of multiples for a particular number are that number’s times table.

What are Multiples?


EG the list of multiples for 4 would be:

What are Multiples?


EG the list of multiples for 4 would be:

4, 8, 12, 16, 20, 24, 28, 32, …

EG List the first 10 multiples of 2 and 3.


2, 4, 6, 8, 10, 12, 14, 16, 18, 20

3, 6, 9, 12, 15, 18, 21, 24, 27, 30


2, 4, 6, 8, 10, 12, 14, 16, 18, 20

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Notice some of the numbers are in both lists, these are common multiples

Lowest Common Multiple

As the name suggests, this is the smallest number in the list of common multiples.


EG Find the LCM for 4 and 6.



List the multiples of each:



List the multiples of each:4, 8, 12, 16, 20, 24, 28, 32, 36, …6, 12, 18, 24, 30, 36, 42, 48, 54, …




List the common multiples:




List the common multiples:12, 24, 36, …




List the common multiples:12, 24, 36, … so LCM(4,6)=12

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