Question

Find the greatest number of 5 digits which is exactly divisible by 20,24,35 and 45.

Answer 1

First of all, we will find the L.C.M of 20, 24, 35 45.
So, L.C.M= 2×2×5×3×2×7×3 = 1520.
Greatest 5 digit number= 99999.
We will divide 99999 by 1520 and find the remainder.

99999÷ 1520=
Q= 65
R= 1199.

A.T.Q we need a greatest 5 digit no. exactly divisible by 1520.

Therefore, the required number is 99999-1199=9800.

Answer 2

Answer:

 98280

Step-by-step explanation:

The greatest 5-digit number is 99999.

We find the LCM of 20,24,35 & 45.

Divide 99999 by 2520 so that we get the remainder,

Remainder is 1719.

Now, Subtract the remainder from 99999.

Therefore, The required number is 98280 which is exactly divisible by 20,24,35 & 45.