Question

find the greatest number of five digits exactly divisible by 2 4 6 8 10​

Answer 1

Answer:

99960

Step-by-step explanation:

First find Least Common Multiple ( LCM) of 2, 4, 6, 8,10 i.e. 120.

The Greatest Five Digit number is 99999.

Divide 99999 by 120 (LCM= 120 in step- 1 ) and the remainder we get in division process is 39.

A number is divisible by another number when we get 0 as remainder in division process. But here remainder is 39.

To get 0 as remainder subtract 39 from 99999. That is 99999–39= 99960.

Now if we divide 99960 by 120, then 0 is remainder.

So 99960 is exactly divisible by 120 which is LCM or the least number divisible by 2, 4, 6, 8 & 10.

Hence 99960 is the required answer.

Answer 2

Question

Find the greatest number of five digits exactly divisible by 2 4 6 8 10

Answer

99999

LCM (Least common multiple) 2 4 6 8 10 is equal to 120

Now,99999 is the largest five digit number

Dividing 99999 by 120,

120) 99999 (855

-960

399

-360

399

-360

39

Reminder =39

subtract this reminder from from the highest 5 digit number i.e

99999-39=99960