Question

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
A.40
B.80
C.120
D.200

Answer 1

Let three numbers be 3x, 4x, 5x
LCM = 2400
LCM = 3×4×5×X
2400 = 3×4×5×X
X = 2400/3×4×5
X = 40
The three numbers are:
3×40, 4×40, 5×40
HCF = 40

The correct answer is option (A) 40

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