Three numbers are in the ratio of 3:4:5 and their L.C.M. is 2400. Their H.C.F. is:

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let the numbers be 3x, 4x and 5x.

Then, their L.C.M. = 60x.

So, 60x = 2400 or x = 40.

The numbers are (3 x 40), (4 x 40) and (5 x 40).

Hence, required H.C.F. = 40.

Answered by  | 4th Jun, 2014, 03:23: PM