# LCM of 6 and 8:

##### Exploring the Different Methods

Hey there, math explorers! Today, we’re diving into the world of LCM, and our mission is to find the magical connection between the numbers 6 and 8. Get ready for a journey filled with fun and discovery!

# LCM of 6 and 8:

##### Exploring the Different Methods

Hey there, math explorers! Today, we’re diving into the world of LCM, and our mission is to find the magical connection between the numbers 6 and 8. Get ready for a journey filled with fun and discovery!

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LCM of 6 and 8

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 6 and 8?

The LCM of 6 and 8 is 24! Remember, knowing the LCM helps us solve tricky math puzzles and make fractions super easy. Let’s explore three cool ways to find it!

## How to Find LCM of 6 and 8?

Okay, before we dig into finding the Least Common Multiple (LCM) of 6 and 8, let’s check out the cool ways we can do it. It’s like having three different tools for a special job. Here they are:

1. Prime Factorization Method: We’ll find secret numbers that help us figure out the LCM.
2. Division Method: It’s like going on a journey of dividing numbers until we get to the LCM.
3. Listing the Multiples: We’ll list out the friends of 6 and 8 until we find the one they both like – that’s our LCM.

Now, let’s use these tools to solve the mystery of the LCM for 6 and 8. Ready? Let’s go!

### 1. Prime Factorization Method

Imagine numbers like detectives, and let’s break down 6 and 8 into their special agents, the prime numbers:

• 6 = 2 x 3
• 8 = 2 x 2 x 2

Now, combine these agents to discover the LCM magic: LCM(6, 8) = 2 x 2 x 2 x 3 = 24

### 2. Division Method

Picture a division adventure! Let’s divide 6 and 8 by their prime agents until we can’t anymore:

Multiply those friendly divisors: LCM (6,8) = 2 x 2 x 2 x 3 = 24.

### 3. Listing Method

Let’s unleash the power of a 100 square to determine the Least Common Multiple (LCM) of 6 and 8. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (6)

Multiples of 6: 6, 12, 18, 24, 30, 36, …

##### 2. Identify multiples of the second number (8)

Multiples of 8: 8, 16, 24, 32, 40, 48, …

##### 3. Find the smallest common multiple

Look for numbers that appear in both lists. In this case, 24 is the smallest number that is a multiple of both 6 and 8.

Therefore, the LCM of 6 and 8 is 24.

And there you have it, young math explorers! Finding the LCM of 6 and 8 is like discovering the secret recipe for a magical potion. Keep exploring, keep smiling, and enjoy the enchanting world of math! 🚀✨

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