# How do you find the Least common multiple of 10, 4, 18?

Nov 30, 2016

LCM(10;4;18)= 180

#### Explanation:

Factorize the three numbers:

$10 = 2 \cdot 5$
$4 = {2}^{2}$
$18 = 2 \cdot {3}^{2}$

The least common multiple is the product of all prime factors present in at least one number, taken once with the highest exponent:

$L C M = {2}^{2} \cdot {3}^{2} \cdot 5 = 4 \cdot 9 \cdot 5 = 180$