# LCM of 8 and 12:

##### Exploring the Different Methods

Greetings, young math voyagers! Today, let’s embark on a fascinating mathematical odyssey to uncover the magical connection between the numbers 8 and 12. Prepare yourselves for a captivating exploration into the realm of numerical wonders!

# LCM of 8 and 12:

##### Exploring the Different Methods

Greetings, young math voyagers! Today, let’s embark on a fascinating mathematical odyssey to uncover the magical connection between the numbers 8 and 12. Prepare yourselves for a captivating exploration into the realm of numerical wonders!

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LCM of 8 and 12

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 8 and 12?

The LCM of 8 and 12 is 24. Understanding the LCM is akin to possessing a key that unlocks the mysteries of mathematics, making problem-solving a delightful journey. Join us as we delve into three mesmerizing methods to unveil this enchanting number!

## How to Find LCM of 8 and 12?

Before we dive into our quest to find the Least Common Multiple (LCM) of 8 and 12, let’s familiarize ourselves with the magical methods at our disposal. Imagine these methods as keys to unlock the secrets of a special mission. 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 8 and 12 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 8 and 12. Ready? Let’s go!

### 1. Prime Factorization Method

Visualize numbers as detectives and break down 8 and 12 into their prime agents:

• 8 = 2 x 2 x 2
• 12 = 2 x 2 x 3

Now, combine these agents to reveal the LCM magic: LCM(8, 12) = 2 x 2 x 2 x 3 = 24

### 2. Division Method

Embark on a division adventure! Divide 8 and 12 by their prime agents until you reach the summit:

Multiply those amiable divisors: LCM(8,12) = 2 × 2 × 2 × 3 = 24.

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 8 and 12. Follow these steps for an engaging exploration:

1. Identify multiples of the first number (8)

Multiples of 8: 8, 16, 24, 32, 40, …

##### 2. Identify multiples of the second number (12)

Multiples of 12: 12, 24, 36, 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 8 and 12.

Therefore, the LCM of 8 and 12 is 24.

Congratulations, intrepid mathematicians! Uncovering the LCM of 8 and 12 is like embarking on a grand odyssey where numbers harmonize in perfect unity. Keep exploring, keep smiling, and revel in the enchanting world of math! 🚀✨

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