If the HCF of two numbers is , which of the following values can never be their LCM?
- A80
- B112
- C134
- D48
Solution & Step-by-step Explanation
A fundamental property of numbers states that the Highest Common Factor (HCF) must always perfectly divide the Lowest Common Multiple (LCM) of the same numbers.
Given .
Let's check the options to see which one is not divisible by :
* (Divisible)
* (Divisible)
* (Not perfectly divisible)
* (Divisible)
Since is not divisible by , it can never be the LCM.
Given .
Let's check the options to see which one is not divisible by :
* (Divisible)
* (Divisible)
* (Not perfectly divisible)
* (Divisible)
Since is not divisible by , it can never be the LCM.