The Ratio of Two Numbers is 3:4 and Their H.C.F. is 4. Their L.C.M. is:

The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is:

  1. 12
  2. 16
  3. 24
  4. 48
Monis Rasool Professor Asked on 13th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 48
    Explanation:-

    Let be the two numbers are 3X and 4X
    Then, X = 4         (Given in the question HCF  = 4)
    Therefore , numbers are 3 x 4 = 12 and 4 x 4 = 16
    The LCM of 12 and 16
    12 = 2 x 2 x 3
    16 = 2 x 2 x 2 x 2
    The LCM of 12 and 16 = 2 x 2 x 2 x 2 x 3
    = 48

    Hence, the answer is (4) 48.

    Anurag Mishra Professor Answered on 13th June 2015.
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