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10th Class Mathematics Real Numbers Question Bank Case Based MCQs - Real Number

  • question_answer
    If p and q are positive integers such that \[p=a{{b}^{2}}\] and \[q={{a}^{2}}b\] , where a and b are prime numbers, then the LCM (p, q) is

    A) ab

    B) \[{{a}^{2}}{{b}^{2}}\]

    C) \[{{a}^{3}}{{b}^{2}}\]

    D) \[{{a}^{3}}{{b}^{3}}\]

    Correct Answer: B

    Solution :

    Given, \[p=a{{b}^{2}}\] and \[q={{a}^{2}}b\]
    LCM (p, q) = Product of the greatest power of each prime factor involved in the numbers, with highest power
    \[={{a}^{2}}\times {{b}^{2}}\]


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