Question

Find the least number of five digit that is exactly divisible by 16,18,24and 30

Answer 1

The least five digit number divisible by 16, 18, 24 and 30 is 10080.

Solution:

L.C.M of 16, 18, 24, and 30 is 720.

720 is only a 3 digit number.

But we have to find the least five digit number.

So we must multiply 720 by the smallest integer that will make it be at least 10000, which is the smallest 5-digit number.

We divide 10000 by 720 and get 13.888.

So the smallest integer greater than that is 14.

So our number = 720 * 14 or 10080.

Answer 2

Hey

Here is your answer,

First find the LCM of 16,18,24,30

LCM=720

Least Number of 5 digit=10000
Now divide 10000/720 =13.88 ( approx 14)
so 5 digit number=720 x 14=10080

Hope it helps you!