Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: Options: A . &nbsp40 B . &nbsp80 C . &nbsp120 D . &nbsp200

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

Question

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

Options:

A . 40

B . 80

C . 120

D . 200

Answer: Option A

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

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

So, 60x = 2400 or x = 40.

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

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

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