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If the LCM of the first 10 natural numbers is N, what would be the LCM of the first 20 natural numbers?

Question

If the LCM of the first 10 natural numbers is N, what would be the LCM of the first 20 natural numbers?

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Solution

The LCM (Least Common Multiple) of a set of numbers is the smallest number that is a multiple of all the numbers in the set.

Step 1: Find the LCM of the first 10 natural numbers.

The first 10 natural numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

The LCM of these numbers is 2520.

Step 2: Find the LCM of the first 20 natural numbers.

The first 20 natural numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

The LCM of these numbers is 232792560.

So, if the LCM of the first 10 natural numbers is N (which is 2520), the LCM of the first 20 natural numbers is 232792560.

This problem has been solved

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