What is a least common multiple?

The least common multiple of two or more

**non-zero**whole numbers is actually the smallest whole number that is

**divisible by each**of the numbers.

How to find the least common multiple?

**Simply list the multiples of each number (multiply by 2, 3, 4, etc.) then look for the smallest number that appears in each list.**

Example: Find the least common multiple for 5, 6, and 15.

First we list the

multiplesof each number.Multiples of

5are 10, 15, 20, 25,30, 35, 40,...Multiples of

6are 12, 18, 24,30, 36, 42, 48,...Multiples of

15are30, 45, 60, 75, 90,....

- Now, when you look at the list of multiples, you can see that
30is the smallest number that appears in each list.

Therefore, the least common multiple of 5, 6 and 15 is

30.