What is the LCM of $2^3 \times 3^2$, $2^2 \times 3^3 \times 5$ and $2 \times 5^2$?

Explanation

1. 01

   Take the highest power of every prime that appears: $2^3$, $3^3$, $5^2$.

2. 02

   $\operatorname{LCM} = 8 \times 27 \times 25 = 5{,}400$.