Find the smallest $$4$$-digit number which is divisible by $$18, 24$$ and $$32$$.
LCM of $$18, 24$$ and $$32$$
LCM $$=2\times 2\times 2\times 2\times 2\times 3\times 3$$
We have to find the smallest $$4$$-digit multiple of $$288$$.
It can be observed that $$288\times 3=864$$ and $$288\times 4=1152$$.
Therefore, the smallest $$4$$-digit number which is divisible by $$18, 24$$ and $$32$$ is $$1152$$.