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

1152

We will be using the concept of LCM(Least Common Multiple) to solve this.
We know that the smallest 4-digit number is 1000.
LCM of 18, 24 and 32 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288.
Thus, we have 288 as the smallest number, which is exactly divisible by 18, 24, and 32.

Since it's not a 4-digit number, we need to find the multiple of 288, close to 1000.

Here we have 136 as the remainder.

Therefore, we need to subtract 136 and add 288 to make the smallest 4 digit number exactly divisible by18, 24, and 32.

So, the multiple of 288 just above 1000 is: 1000 – 136 + 288 = 1152.
Hence, the smallest 4-digit number which is divisible by 18, 24, and 32 is 1152.