Find the LCM 15 , 10 , 25

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

${\displaystyle 15}$ has factors of ${\displaystyle 3}$ and ${\displaystyle 5}$.

${\displaystyle 10}$ has factors of ${\displaystyle 2}$ and ${\displaystyle 5}$.

${\displaystyle 25}$ has factors of ${\displaystyle 5}$ and ${\displaystyle 5}$.

The LCM of ${\displaystyle 15,10,25}$ is the result of multiplying all prime factors the greatest number of times they occur in either number.