Question

Find the greatest number of $6$ digits number exactly divisible by $24,15$ and $36$.

Answer 1

We will find out the LCM of $24,15\&36$ is $360$

Now greatest 6 digit number is $999999$

Now $\frac{999999}{360}$ will get reminder $279$

$\therefore 999999-279=999720$

$999720$ is the greatest number 6 digit number divisible by 24,15 and 36.