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

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

[A].

12

[B].

16

[C].

24

[D].

48

Answer: Option D

Explanation:

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.

So, the numbers 12 and 16.

L.C.M. of 12 and 16 = 48.