determine the smallest 3 digit number which exactly divisible by 6 8 and 12


Dear Student
Smallest number = LCM of 6, 8, 12

2

6, 8, 12

2

3, 4, 6

2

3, 2, 3

3

3, 1, 3

 

1, 1, 1

LCM = 2 × 2 × 2 × 3 = 24

We have to find the smallest 3-digit multiple of 24.

It can be seen that 24 × 4 = 96 and 24 × 5 = 120.

Hence, the smallest 3-digit number which is exactly divisible by 6, 8, and 12 is 120.
Regards

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