Question

what is the smallest 3 digit number which is exactly divisible by 6,8,12 ​

Answer 1

6 = 2*3

8 = 2*2*2

12 = 2*2*3

Therefore the LCM of 6, 8, 12 = 24

We need a three digit number, therefore multiply 24 with natural numbers.

When we multiply 24 with 2, 3, 4 we get only 2 digits.

Therefore multiply 24 with 5.

Now we get the three digit number 120.

Therefore 120 is the smallest three digit number divisible by 6, 8 and 12.