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    The LCM of 4, 6 and xxx​ CANNOT be:
    Question

    The LCM of 4, 6 and xx​ CANNOT be:

    A.

    24

    B.

    36

    C.

    18

    D.

    60

    Correct option is C

    Given:

    We are to find which value can not be the LCM of 4, 6, and x.

    Solution:
    Let’s test each option:

    A) 24

    12 divides 24 

    24 is a valid LCM for some x (e.g., x = 8) 
    Possible

    B) 36

    12 divides 36 

    36 is a valid LCM for some x (e.g., x = 18) 
    Possible

    C) 18

    12 does not divide 18 

    Hence, 18 cannot be the LCM of 4 and 6 with any x
    Not Possible

    D) 60

    12 divides 60 

    60 is a valid LCM for some x (e.g., x = 30) 
    Possible

    The value that can not be the LCM of 4, 6, and x is 18.

    Thus, option (c) is right answer.

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