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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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