LCM 0f 18, 24 and 32

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.