Question
Find the smallest four digit number which is divisible by $18, 24$ and $32.$
✓
Answer
$\therefore L.C.M. = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 288.$
Multiples of $288$ are :
$288 \times 1 = 288, 288 \times 2 = 576, 288 \times 3 = 864, 288 \times 4 = 1152, ......$
Hence, the smallest four-digit number which is divisible by $18, 24$ and $32$ is $1152.$
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