Understanding The Lcm Of 6 And 8

LCM of 6 and 8 How to Find LCM of 6, 8? from www.cuemath.com

Introduction

The Least Common Multiple (LCM) is a mathematical concept that is frequently used in various calculations. It is a crucial concept in elementary mathematics and is taught in schools across the world. In this article, we will discuss the LCM of 6 and 8.

What is LCM?

Before we delve into the LCM of 6 and 8, let us first understand what LCM is. The LCM of two or more numbers is the smallest number that is divisible by all the given numbers. In other words, it is the lowest common multiple of two or more numbers.

How to find the LCM of 6 and 8

To find the LCM of 6 and 8, we need to follow a few simple steps. The first step is to list down the multiples of each number. The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, and so on. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and so on.

Step 1: Listing down the multiples

The first step is to list down the multiples of each number. The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, and so on. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and so on.

Step 2: Finding the common multiples

The next step is to find the common multiples of 6 and 8. From the above lists, we can see that 24 and 48 are common multiples of 6 and 8.

Step 3: Finding the LCM

The LCM of 6 and 8 is the smallest common multiple of the two numbers. Therefore, the LCM of 6 and 8 is 24.

Why is LCM important?

LCM is an essential concept in mathematics. It is used in various calculations, such as adding and subtracting fractions, simplifying fractions, and finding equivalent fractions. In addition, it is used in solving problems related to time and distance, and it is also used in algebraic calculations.

Conclusion

In conclusion, the LCM of 6 and 8 is 24. To find the LCM of two or more numbers, one must list down the multiples of each number, find the common multiples, and then find the smallest common multiple. The LCM is an important concept in mathematics and is used in various calculations.