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1 mark

If the HCF of two numbers is , which of the following values can never be their LCM?

  1. A
    80
  2. B
    112
  3. C
    134
  4. D
    48

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.

Practice this question

Try it yourself before checking the explanation above.

If the HCF of two numbers is , which of the following values can never be their LCM?
A
80
B
112
C
134
D
48

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