Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:

A 40

B 60

C 100

D 120

Solution

Correct Answer: Option B

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

 

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

 

So, 60x=3600 or x=60.

 

Therefore,  The numbers are (3 x 60), (4 x 60), (5 x 60).

 

Hence,required H.C.F=60

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