Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

A 45

B 48

C 360

D 36

Correct Answer: Option A

16200 = \(2^3\times3^4\times5^2\)

A perfect cube has a property of having the indices of all its prime factors divisible by 3.

Required number = \(3^2\times5\) = 9 x 5 = 45.