# What is the least common multiple of 3, 2, and 15?

Jan 20, 2017

The LCM for $3 , 2$, and $15$ is $\textcolor{red}{30}$.

#### Explanation:

In order to determine the least common multiple (LCM), list the multiples of each number. The lowest number that they all have in common is the LCM.

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

$2 :$$2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28 , \textcolor{red}{30} , 32. . .$

$15 :$$15 , \textcolor{red}{30} , 45 , 60. . .$

The LCM for $3 , 2$, and $15$ is $\textcolor{red}{30}$.