# How do you find the Least common multiple of 8y^2, 16xy, 16y?

Oct 29, 2017

L C M = $16 x {y}^{2}$

#### Explanation:

Factors of the three terms are

$8 {y}^{2} = \textcolor{red}{8 y} \cdot y , 16 x y = \textcolor{g r e e n}{2} \cdot \textcolor{red}{8 y} \cdot x , 16 y = \textcolor{red}{8} \cdot \textcolor{g r e e n}{2} \cdot \textcolor{red}{y}$

$L C M = \textcolor{red}{8 y}$* $\textcolor{g r e e n}{2} \cdot x y = 16 x {y}^{2}$; (green and

red color terms are included in L C M only once.)