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    Question

    L.C.M. of two numbers is 15 times of their H.C.F. The

    product of numbers is 4860. What will be the maximum possible difference between the numbers?
    A 36 Correct Answer Incorrect Answer
    B 90 Correct Answer Incorrect Answer
    C 252 Correct Answer Incorrect Answer
    D 270 Correct Answer Incorrect Answer

    Solution

    Let the HCF be x.  LCM = 15x => HCF × LCM = The product of two numbers => x × 15x = 4860 => 15x2 = 4860 => x = 18 So, HCF = 18  LCM = 15 × x = 15 × 18 = 270 The largest possible difference = LCM - HCF = 270 - 18 = 252 

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