Question

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

Answer 1

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 $$1152$$.