Question

Determine the smallest 3-digit number which is exactly divisible by 6,8 and 12.
Find L.C.M. and plz show step-by-step solution

Answer 1

Answer:

the answer is 120

Step-by-step explanation:

1st find the L.C.M i.e 24 then multiply by 5

Answer 2

Answer:

120!

Step by Step Explanation:

6= 2 x 3

8= 2 x 2 x 2

12= 2 x 2 x 3

LCM= Product of the common number and the other numbers

       = 2^3 x 3

       = 8 x 3

       = 24

To find the smallest 3-digit number which is exactly divisible by 6, 8 and 12, find the smallest 3-digit number which is a multiple of 24.

24 x 1= 24

24 x 2= 48

24 x 3= 72

24 x 4= 86

24 x 5= 120

This number is 120.

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