The smallest 4 digit number which is divisible by 18, 24 & 32 is
1152
LCM of 18, 24 and 32
LCM of 18, 24 and 32 = 2 X 2 X 2 X 2 X 2 X 3 X 3 = 288
288 × 4 = 1152
288 × 3 = 864, which is a three digit number.
Hence, 1152 is the smallest 4 digit number divisible by 288.