The HCF of two numbers is 12. Which one of the following can never be their LCM?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3. i.e. 80.
Let the two numbers be ‘12a’ and ‘12b’ respectively where ‘a’ and ‘b’ are co-prime integers.
LCM of both the numbers = 12ab which must be divisible by 12.
Only 80 is not divisible by 12.
So,
80 can never be the HCF of both numbers