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      Question

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

      If the product of given two numbers is 22,500, then find the LCM of the numbers.
      A 750 Correct Answer Incorrect Answer
      B 625 Correct Answer Incorrect Answer
      C 500 Correct Answer Incorrect Answer
      D 900 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 X H = 22,500 Or, H2 = 900 Or, 'H' = 30 or, H = - 30 Since, HCF cannot be negative. So, 'H' = 30 Therefore, LCM = 25 X 30 = 750 

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