Question

Find the smallest 4-digit number which is divisible by 18, 24 and 32.

Answer 1

LCM of 18, 24 and 32

2	18, 24, 32
2	9, 12, 16
2	9, 6, 8
2	9, 3, 4
2	9, 3, 2
3	9, 3, 1
3	3, 1, 1
	1, 1, 1

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288

We have to find the smallest 4-digit multiple of 288.

It can be observed that 288 × 3 = 864 and 288 × 4 = 1152.

Therefore, the smallest 4-digit number which is divisible by 18, 24 and 32 is 1152.