Question 108
DIRECTION for the question: Solve the following question and mark the best possible option.
Three numbers are in the ratio of 3:4:5 and their L.C.M. is 2400. Their H.C.F. is
Solution
Three numbers are in the ratio 3 : 4 : 5
Let the numbers be 3k, 4k and 5k
LCM(3k, 4k , 5k) = 60k
60k = 2400 $$\Rightarrow$$ k = 40
The numbers are 120, 160, 200
$$\therefore$$ HCF(120, 160, 200) = 40
Hence, option C is the correct choice
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