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Problems on HCF and LCM

Q1: 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

ANS:A - 40

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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