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      Question

      The LCM of two natural numbers is 25 times their HCF.

      If the product of given two numbers is 3600, then find the LCM of the numbers. 
      A 60 Correct Answer Incorrect Answer
      B 300 Correct Answer Incorrect Answer
      C 150 Correct Answer Incorrect Answer
      D 600 Correct Answer Incorrect Answer

      Solution

      Let the HCF of the number be 'H'.  So, LCM = 25H  Product of two numbers = Product of their HCF and LCM  So, 25H × H = 3600  Or, H² = 144  Or, H = 12 or H = –12  Since, HCF cannot be negative. So, H = 12  Therefore, LCM = 25 × 12 = 300 

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