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SSC GD 2023 PYQ — Question 50

SSC GD Constable (English) - 7 Feb 2023 - Shift 2 • Quantitative Aptitude • Q50

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If the LCM of the first 110 natural numbers is N, then find the LCM of the first 115 natural numbers.

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 113N.

Let the LCM of the first 110 natural numbers = N

According to the question,

LCM of 111, 112, 113, 114, 115

The only prime number among the above numbers is 113

All other numbers are factors of numbers from 1 to 110.

So, the LCM of the first 115 numbers = 113N