What Is The Lcm Of 9, 12, And 15?

What is the LCM of 9, 12, and 15?

ANSWER :

The least common multiple is 180.

STEP BY STEP EXPLANATION :

$\begin{array}{r|l}9,12,15&3\\3,4,5&3\\1,4,5&4\\1,1,5&5\\1,1,1\end{array}$

LCM = 3² × 4 × 5

LCM = 9 × 4 × 5

LCM = 9 × 20

LCM = 180

Therefore , the least common multiple is 180.

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