What Is The Lcm Of 3 And 9?

Least Common Multiple of 3 and 9 from www.gcf-lcm.com

Introduction

In mathematics, LCM stands for "Least Common Multiple." It is the smallest multiple that is common to two or more numbers. Finding the LCM of two numbers is very important in many mathematical applications. In this article, we will discuss what is the LCM of 3 and 9 and how to find it.

What is 3 and 9?

Before we move to find the LCM of 3 and 9, let us first understand what are 3 and 9. 3 and 9 are two different numbers. 3 is a prime number, which means it is only divisible by 1 and itself. Whereas, 9 is a composite number, which means it is divisible by 1, itself, and other numbers.

How to find the LCM of 3 and 9?

To find the LCM of 3 and 9, we need to follow certain steps. First, we need to find the multiples of each number. A multiple of a number is another number that can be obtained by multiplying the original number by any other whole number. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... and so on. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ... and so on.

Step 1:

We need to list down the multiples of both 3 and 9. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Step 2:

We need to find the common multiples of both 3 and 9. A common multiple is a number that is a multiple of both 3 and 9. Common multiples of 3 and 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Step 3:

We need to choose the smallest common multiple as the LCM of 3 and 9. Smallest common multiple of 3 and 9: 9 Therefore, the LCM of 3 and 9 is 9.

Conclusion

In conclusion, the LCM of 3 and 9 is 9. To find the LCM of two numbers, we need to list down the multiples of both the numbers, find the common multiples, and choose the smallest common multiple as the LCM. Finding the LCM of two numbers is important in many mathematical applications, and it is a fundamental concept in mathematics.