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

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

    A) 10

    B) 100

    C) 504

    D) 2520

    Correct Answer: D

    Solution :

    Factors of 1 to 10 numbers
    1=1
    \[2=1\times 2\]
    \[3=1\times 3\]
    \[4=1\times 2\times 2\]
    \[5=1\times 5\]
    \[6=1\times 2\times 3\]
    \[7=1\times 7\]
    \[8=1\times 2\times 2\times 2\]
    \[9=1\times 3\times 3\]
    \[10=1\times 2\times 5\]
    \[\therefore\]  LCM of numbers I 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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