# LCM of 7 and 8:

##### Exploring the Different Methods

Greetings, young mathematicians! Today, let’s embark on an exhilarating mathematical odyssey to unveil the hidden connection between the numbers 7 and 8. Prepare yourselves for an exploration filled with mathematical wonders and excitement!

# LCM of 7 and 8:

##### Exploring the Different Methods

Greetings, young mathematicians! Today, let’s embark on an exhilarating mathematical odyssey to unveil the hidden connection between the numbers 7 and 8. Prepare yourselves for an exploration filled with mathematical wonders and excitement!

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LCM of 7 and 8

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 7 and 8?

The LCM of 7 and 8 is 56. Understanding the LCM acts like a magical compass, guiding us through mathematical challenges and simplifying fractions. Join us as we dive into three captivating methods to reveal this enchanting number!

## How to Find LCM of 7 and 8?

Before we dive into our quest to find the Least Common Multiple (LCM) of 7 and 8, let’s familiarize ourselves with the extraordinary tools at our disposal. Imagine having three distinct keys to unlock a treasure chest. Here they are:

1. Prime Factorization Method: Unveiling the secret numbers that guide us to the LCM.
2. Division Method: Embarking on a journey of division until the LCM is discovered.
3. Listing the Multiples: Inviting the friends of 7 and 8 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 7 and 8. Are you ready? Let the mathematical journey begin!

### 1. Prime Factorization Method

Visualize numbers as detectives, and let’s dissect 7 and 8 into their prime agents:

• 7 = 7 x 1
• 8 = 2 x 2 x 2

Now, combine these agents to reveal the LCM magic: LCM(7,8) = 2 x 2 x 2 x 7 = 56.

### 2. Division Method

Embark on an exciting divisional adventure! Divide 7 and 8 by themselves until there’s no more room:

Multiply those friendly divisors: LCM (7,8) = 2 x 2 x 2 x 7 = 56.

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 7 and 8. Follow these steps for an engaging exploration:

1. Identify multiples of the first number (7)

Multiples of 7: 7, 14, 21, 28, 35, 42, …

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

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, …

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

Look for numbers that appear in both lists. In this case, 56 is the smallest number that is a multiple of both 7 and 8.

Therefore, the LCM of 7 and 8 is 56.

There you have it, curious math adventurers! Uncovering the LCM of 7 and 8 is akin to navigating an exhilarating mathematical odyssey. Keep exploring, keep smiling, and revel in the enchanting world of math!

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