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Three Number Are In The Ratio Of 3 : 4 : 5 And Their L.c.m. Is 2400. Their H.c.f. Is?

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.

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.



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