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    Question

    The LCM of two natural numbers is 18 times their HCF.

    If the product of given two numbers is 16,200, then find the LCM of the numbers.
    A 540 Correct Answer Incorrect Answer
    B 360 Correct Answer Incorrect Answer
    C 480 Correct Answer Incorrect Answer
    D 600 Correct Answer Incorrect Answer

    Solution

    Let the HCF of the number be 'H'. So, LCM = 18H Product of two numbers = Product of their HCF and LCM So, 18H X H = 16,200 Or, H2 = 900 Or, 'H' = 30 or, H = - 30 Since, HCF cannot be negative. So, 'H' = 30 Therefore, LCM = 18 X 30 = 540

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