Question

What is the largest 5 digit number which is exactly divisible by 2, 3, 5 and 7?
1. 99980
2. 98989
3. 99960
4. 98980

Answer 1

Correct Answer - Option 3 : 99960

Given:

Largest 5 digit number is 99999.

Calculation:

5 digit largest number = 99999

⇒ L.C.M. of 2, 3, 5 and 7 = 210

Now, according to the question

On dividing, 99999 by 210 we get 

⇒ 99999 = 210 × 476 + 39 

⇒ Remainder = 39

So, the required number 

⇒ 99999 - 39 = 99960

∴ 99960 is the largest 5 digit number which is divisible by 2, 3, 5, and 7.