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QA – Placement Quizzes | LCM | Question 5

Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
(A) 40
(B) 20
(C) 30
(D) 10

Answer: (B)
Explanation: Let the numbers be 2x, 3x and 4x
LCM = 12x
12x=240
⇒x=20
H.C.F of 40, 60 and 80=20
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