Question

Find the smallest five digit number which is exactly divisible by 12,16&20

Answer 1

LCM of 12 = 2^2 * 3

LCM of 16 = 2^4

LCM of 20 = 2^2* 5

LCM of 12,16,20 = 240.

The smallest 5 digit number which is a multiple of 240 is 10080.

Hence 10080 is the smallest number.