Question

The least number of 4digits which is divisible by 4,6,8 and 10 is.?

Answer 1

Answer:

If a number is divisible by 4, 6, 8, 10, the it must be divisible by the LCM of these numbers also.

Hence LCM ( 4,6,8,10 ) = 120

Hence the 4 digit number must be divisible by 120 if it is divisible by 4,6,8 and 10.

Least 4 digit number = 1000

1000 divided by 120 gives us a quotient of 8 and remainder of 40

So 120 * 8 = 960.

This is the largest 3 digit number divisible by 120. Hence if we add 120 to this number we would get the least 4 digit number divisible by 120.

Hence 960 + 120 = 1080

Hence 1080 is the least number divisible by 120 and hence it is divisible by 4,6,8 and 10.