6th Class Mathematics Factors and Multiples Question Bank Factors & Multiples

  • question_answer If two positive integers \[a\] and \[b\] are expressible in the form \[a=p{{q}^{2}}\]and \[b={{p}^{3}}\,\,p\,\,p,\,\,q\] being prime numbers, then LCM (a, b) is ,

    A) \[pq\]                           

    B) \[{{p}^{3}}{{q}^{3}}\]

    C) \[{{p}^{3}}{{q}^{2}}\]                           

    D) \[{{p}^{2}}{{q}^{2}}\]

    Correct Answer: C

    Solution :

    \[p\times {{q}^{2}}=a,\,\,b={{p}^{3}}q\] \[LCM={{p}^{3}}{{q}^{3}}\]

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