Question

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

Answer 1

Lets evaluate the LCM of $18,24$ and $32$

LCM of $18,24$ and $32$ = $2\times 2\times 2\times 2\times 2\times 3\times 3=288$

Now lets move to multiples of $288$

$288\times 2=576288\times 3=864288\times 4=1152$
Therefore, the smallest $4$-digit number which is divisible by $14,24$ and $32$ is $1152$.