Question

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

Answer 1

Consider the given numbers $24$,$15$ and $36$.

We will find out the LCM of $24,15$ and $36$ is $360$.

Now, greatest 6-digit number is $999999$.

Now, We will divide this number by LCM of $24,15$ and $36$, we will get,

$\frac{999999}{360}$ will get remainder $279$.

Now, $999999–279=999720$.

Now, we will check it out for the numbers we will get,

$\frac{999720}{24}=41655$

$\frac{999720}{15}=66648$

$\frac{999720}{36}=27770$

∴ $999720$ is the greatest number $6$-digit number divisible by

$24,15$ and $36$.

Hence, this is the answer.