# What is the LCM of 6, 8, and 5?

Mar 4, 2018

The LCM is $120$.

#### Explanation:

LCM means least common multiple.

We can use prime factorization of each given number to determine the LCM.

$6 :$ $2 \times \textcolor{red}{3}$

$8 :$ $\textcolor{g r e e n}{2} \times \textcolor{g r e e n}{2} \times \textcolor{g r e e n}{2}$

$5 :$ $\textcolor{b l u e}{5}$

Multiply each factor the maximum times it occurs in the three numbers.

$\text{LCM} = \textcolor{red}{3} \times \textcolor{g r e e n}{2} \times \textcolor{g r e e n}{2} \times \textcolor{g r e e n}{2} \times \textcolor{b l u e}{5} = 120$