What is the LCM of the first 10 natural numbers?

The LCM of the first 10 natural numbers is the least number which is exactly divisible by all the 10 numbers.

Answer: The LCM of the first 10 natural numbers is 2520.

Let us see how to find the LCM of the first 10 natural numbers.

Explanation:

The least common multiple is the smallest number which is exactly divisible by all the given numbers.

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

The LCM of all these numbers is the least among all the common multiples of them.

Let us follow a common division method to find the LCM.

Find the LCM of (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) by the Common Division Method

In the common division method,

• We divide the given numbers with the prime factors.
• We conclude the process if we cannot find any prime number to further divide the given numbers without leaving any remainder.
• The LCM is the product of all such common prime divisors.

Thus, the LCM of the first ten natural numbers is 2520.