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      Question

      The LCM of two natural numbers is 15 times their HCF. If

      the product of given two numbers is 13,500, then find the LCM of the numbers.
      A 450 Correct Answer Incorrect Answer
      B 300 Correct Answer Incorrect Answer
      C 600 Correct Answer Incorrect Answer
      D 750 Correct Answer Incorrect Answer

      Solution

      Let the HCF of the number be 'H'. So, LCM = 15H Product of two numbers = Product of their HCF and LCM So, 15H X H = 13,500 Or, H2 = 900 Or, 'H' = 30 or, H = - 30 Since, HCF cannot be negative. So, 'H' = 30 Therefore, LCM = 15 X 30 = 450

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