H.C.F and L.C.M Problems-Data Intensity 1 Questions and Answers Discussion Page.

7.	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: Option A


	Explanation:
	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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