Correct Answer - Option 3 : 9,960
Given:
The numbers are 2, 3, 4, 5, and 6.
Concept used:
If any number N is divisible by a set of numbers a, b, c then the L.C.M. of a, b, and c also divides the number N.
Calculation:
The greatest 4 digit number is 9999.
The L.C.M. of 2, 3, 4, 5, and 6 = 60
When we divide the number 9999 by 60, we get
⇒ Remainder = 39
Now,
⇒ 9999 - 39
⇒ 9960
∴ The number 9960 is the greatest 4-digit number which is divisible by 2, 3, 4, 5, and 6.
