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

**Solution:**

Let's find the L.C.M of 18, 24 and 32.

Therefore, L.C.M of 18, 24 and 32

Therefore, 288 is the smallest number which is divisible by 18, 24 and 32. But, 288 is a 3-digit number. We need to find smallest 4-digit number which is divisible by 18, 24 and 32. This number would be factor of 288. So, let's find the factors of 288.

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