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    ​The LCM of two numbers is 126 and their HCF is 2. If one number is 18 then the other is: ​
    Question

    The LCM of two numbers is 126 and their HCF is 2. If one number is 18 then the other is:

    A.

    14

    B.

    12

    C.

    16

    D.

    9

    Correct option is A

    Given:

    LCM (Least Common Multiple) of two numbers = 126

    HCF (Highest Common Factor) of two numbers = 2

    One number = 18

    Formula Used:

    Product of two numbers = LCM × HCF

    Solution:

    Let the other number be 'x'.

    According to the formula:

    18 × x = 126 × 2

    18x = 252

    x = 25218\frac{252}{18}​​

    x = 14

    Therefore, the other number is 14.

    Thus, option(A) is right.

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