Question : The HCF of the two numbers is 12. Which one of the following can never be their LCM?
Option 1: 72
Option 2: 60
Option 3: 90
Option 4: 84
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Correct Answer: 90
Solution :
Given, the HCF of the two numbers is 12.
So, 12 divides both the numbers.
And thus, 12 must divide the LCM of two numbers.
72, 60, and 80 are divisible by 12, whereas 90 is not divisible by 12.
So, 90 can not be their LCM.
Hence, the correct answer is 90.
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