Question

Find the least number of five digits that is exactly divisible by 16, 18, 24 and 30.

Answer 1

LCM of 16, 18, 24 and 30:

LCM = 2⁴ × 3² × 5 = 720

We have to find the least five-digit number that is exactly divisible by 16, 18, 24, and 30.
But LCM=720 is a three-digit number.

The least five-digit number = 10000
Dividing 10000 by 720, we get:

The greatest four-digit number exactly divisible by 720 = 10000-640 =9360
So, the least five-digit number exactly divisible by 720 =9360+720 =10080