Discussion
Three numbers are in the ratio 3 : 4 : 5 and their L.C.M. is 2400. The H.C.F of these numbers is ______.
Answer: A
Let the numbers be 3x, 4x and 5x. Their L.C.M. is 60x, so 60x = 2400 and x = 40.
The H.C.F. of 3x, 4x and 5x is x, so it is 40, option A. The values 80, 120 and 200 are multiples of x and not the H.C.F.
Check: the numbers are 120, 160 and 200, whose L.C.M. is 2,400 and H.C.F. is 40.
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