# Find out The Smallest Three-digit Number ?

Find out the smallest three-digit number which when divided by 4,5 and 6 leaves 1 as remainder in all cases.

- 241
- 101
- 121
- 361

**Answer: (3) 121**

**Explanation:-
**The L C M of 4, 5 and 6

Then, the factors of 4 = 2 x 2

The factors of 5 = 1 x 5

The factors of 6 = 2 x 3

Then, the L C M of 4,5 and 6= 2 x 2 x 3 x 5 = 60

The smallest number of three digits which is divisible by 4, 5 and 6 = 60 x 2

= 120

The leaving remainder is 1.

Then, the number is 120 + 1 = 121

Hence, the answer is (3) 121.