Find the L C M ?

The ratio of two numbers is 3: 4 and their H C F is 4. Their L C M is :

  1. 44
  2. 48
  3. 52
  4. 60
Anurag Mishra Professor Asked on 23rd September 2015 in Maths.
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1 Answer(s)

Answer: (2) 48

Explanation:-
The ratio of two numbers = 3: 4
Let the two number be 3X and 4X.

Then, the H C F of 3 X and 4 X = 4
X = 4

Therefore, the two numbers = 3 x 4 = 12 and 4 x 4 = 16

The factors of 12 = 2 x 2 x 3
the factors of 16 = 2 x 2 x 2 x 2

Then, the L C M of 12 and 16 = 2 x 2 x 2 x 2 x 3
= 48

Hence, the answer is (2) 48.

Anurag Mishra Professor Answered on 23rd September 2015.
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