The least number of five digits which is exactly divisible by 12, 15 and 18 is

Question: The least number of five digits which is exactly divisible by 12, 15 and 18 is

SOlution:
The smallest number of five digits is = 10000
The number must be divisible by the LCM of 12, 15 and 18 = 180
On dividing 10000 by 180, we get 100 as the remainder.

So, required number is = 10000 + (180 - 100)
= 10000 + 80
= 10080