# What is the least common multiple of 3, 9, and 15?

Jun 29, 2017

45

#### Explanation:

The least common multiple is 45.
3 x 15 = 45
9 x 5 = 45
15 x 3 = 45

Jun 29, 2017

The LCM of 3, 9 and 15 is 45.

#### Explanation:

The least common multiple, LCM, is the lowest multiple that is found in all of the numbers that are in your question.

To find the least common multiple, list the multiples of each number and find the lowest multiple they have in common.

$3 :$$3 , 6 , 9 , 12 , 15 , 18 , 21 , 24 , 27 , 30 , 33 , 36 , 39 , 42 , \textcolor{red}{45} , 48 , 51. . .$

$9 :$$9 , 18 , 27 , 36 , \textcolor{red}{45} , 54. . .$

$15 :$$15 , 30 , \textcolor{red}{45}$

The LCM of 3, 9 and 45 is 45.