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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.ย 
    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'.ย  So, LCM = 12Hย  Product of two numbers = Product of their HCF and LCMย  So, 12H ร— H = 432ย  Or, Hยฒ = 36ย  Or, H = 6 or H = โ€“6ย  Since, HCF cannot be negative. So, H = 6ย  Therefore, LCM = 12 ร— 6 = 72ย 

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