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

  • question_answer
    The LCM and HCF of 120 and 144 by fundamental theorem of arithmetic is

    A) 720, 22

    B) 720, 24

    C) 640, 24

    D) 640, 22

    Correct Answer: B

    Solution :

    The prime factorisation of
                            \[120=2\times 2\times 2\times 3\times 5\]
                            \[={{2}^{3}}\times 3\times 5\]
     and prime factorisation of 144
                            \[=2\times 2\times 2\times 2\times 3\times 3\]
                            \[={{2}^{4}}\times {{3}^{2}}\]
     Now, LCM (120,144) \[={{2}^{4}}\times {{3}^{2}}\times 5=720\]
     and HCF (120,144) \[={{2}^{3}}\times 3=24\]
     


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