Question

The H.C.F. of two numbers is
12. Which one of the following can
never be their L.C.M?​

Answer 1

Step-by-step explanation:

whose option are not multiple of 12

.. right answer

HCF of two numbers divides their LCM exactly.

Answer 2

The required "option is D) 60".

Step-by-step explanation:

The complete question:

The HCF of two numbers is 8. Which one of the following can never be their LCM?

A) 24            B) 48

C) 56            D) 60

Given,

The HCF of two numbers = 8.

To check, the numbers L.C.M. = ?

Check options,

A) 24

= 3 × 8 , is a factor of 8.

B) 48

= 6 × 8 , is a factor of 8.    

C) 56

= 7 × 8 , is a factor of 8.  

B) 60, 60 is not a factor of 8.        

Thus, the required option is D) 60.