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

  • question_answer
    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is:   (NCERT EXEMPLAR)

    A) 10

    B) 100

    C) 504

    D) 2520

    Correct Answer: D

    Solution :

    Sol.      [d] Prime factorisation of numbers from 1 to 10     
    \[1=1;2=1\times 2;3=1\times 3;4=1\times 2\times 2\]
    \[5=1\times 5;6=1\times 2\times 3;7=1\times 7\]
    \[8=1\times 2\times 2\times 2;9=1\times 3\times 3\]
    \[10=1\times 2\times 5\]
    \[\therefore \]  Required least number = LCM of numbers from 1 to 10
    \[=LCM(1,2,3,4,5,6,7,8,9,10)\]
    \[=1\times 2\times 2\times 2\times 3\times 3\times 5\times 7=2520\]


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