The product of two numbers is 1296 If the highest common factor of the two numbers is 12 then what i...........

Quantitative Aptitude (MTS) LCM, HCF

The product of two numbers is 1296. If the highest common factor of the two numbers is 12, then what is the least common

multiple of the two numbers?

This questions was previously asked in

SSC MTS 18th July 2022 Shift-2

108

120

- Given: The product of two numbers is 1296, and their highest common factor (HCF) is 12.

- We use the relationship: Product of two numbers = HCF × LCM.

- To find the least common multiple (LCM), we rearrange the equation: LCM = 1296 / HCF.

- Substitute the given HCF: LCM = 1296 / 12 = 108.

- Option 1: 84 - Not relevant, doesn't satisfy the equation.

- Option 2: 108 - Correct, satisfies the equation.

- Option 3: 120 - Doesn't satisfy the equation.

- Option 4: 60 - Doesn't satisfy the equation.

Correct Answer: Option 2 - 108

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