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      Question

      The LCM of two natural numbers is 12 times their HCF.

      If the product of given two numbers is 432, then find the LCM of the numbers. 
      A 6 Correct Answer Incorrect Answer
      B 432 Correct Answer Incorrect Answer
      C 72 Correct Answer Incorrect Answer
      D 36 Correct Answer Incorrect Answer

      Solution

      Let the HCF of the number be 'H'.  So, LCM = 12H  Product of two numbers = Product of their HCF and LCM  So, 12H × H = 432  Or, H² = 36  Or, H = 6 or H = –6  Since, HCF cannot be negative. So, H = 6  Therefore, LCM = 12 × 6 = 72 

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