The LCM of $36$, $84$, and $90$ is:

Question

The LCM of $36$, $84$, and $90$ is:

Option A

840

Option B

1080

Option C — Correct answer

1260

Correct choice.

Option D

2520

Explanation

$36=2^2\times3^2$, $84=2^2\times3\times7$, and $90=2\times3^2\times5$. Taking the highest powers gives $2^2\times3^2\times5\times7=1260$.

Chapter Mock 1: Number System, Simplification and Approximation