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    Question

    The LCM of two natural numbers is 10 times their HCF.

    If the product of given two numbers is 1000, then find the LCM of the numbers. 
    A 10 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 200 Correct Answer Incorrect Answer

    Solution

    Let the HCF of the number be 'H'.  So, LCM = 10H  Product of two numbers = Product of their HCF and LCM  So, 10H × H = 1000  Or, H² = 100  Or, H = 10 or H = –10  Since, HCF cannot be negative. So, H = 10  Therefore, LCM = 10 × 10 = 100 

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