Question

Find the greatest number of five digits exactly divisible by 9, 12, 15, 18 and 24.

Answer 1

First, we will find the LCM of 9, 12, 15, 18 and 24

∴ LCM of the numbers = 2³× 3²× 5
= 360
The least six-digit number = 100000
The greatest five-digit number divisible by 360
will be the quotient of `100000/360` multiplied by 360

So, the greatest five-digit number exactly divisible  by the given numbers will be
360×277 = 99720