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    The smallest natural number which is divisible by 11, 6, 55 and 9 is:
    Question

    The smallest natural number which is divisible by 11, 6, 55 and 9 is:

    A.

    921

    B.

    990

    C.

    1054

    D.

    1032

    Correct option is B

    Given:
    The number must be divisible by: 11, 6, 55, and 9
    Formula Used:
    Smallest natural number divisible by multiple numbers = LCM (Least Common Multiple) of the given numbers
    Solution:
    Prime factorizations:
    11 = 11
    6 = 2 × 3
    55 = 5 × 11
    9 = 3²
    LCM=2×32×5×11=2×9×5×11=18×5=9090×11=990\text{LCM} = 2 \times 3^2 \times 5 \times 11= 2 \times 9 \times 5 \times 11= 18 \times 5 = 9090 \times 11 = 990​​
     990 is the smallest natural number divisible by 11, 6, 55, and 9

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