MathematicsIf xy=180 and HCF(x, y)=3, then find the LCM(x, y).

If xy=180 and HCF(x, y)=3, then find the LCM(x, y).


  1. A
    60
  2. B
    50
  3. C
    180
  4. D
    90 

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    Solution:

    Given that, xy=180, HCF(x, y)=3.
    LCM the least common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
    Now, LCM×HCF = Product of two numbers ⇒LCMx,y×HCFx,y=xy  ⇒LCMx,y×3=180  ⇒LCMx,y=1803  ⇒LCM(x,y)=60
    Thus, if xy=180  and HCF(x,y)=3 , then LCM(x,y)=60.
    Therefore, option (1) is correct.
     

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