# LCM of 5 and 7:

##### Exploring the Different Methods

Hello, young mathematical adventurers! Today, join us on an exhilarating quest to uncover the mysterious connection between the numbers 5 and 7. Get ready for a journey filled with numerical wonders and exploration!

# LCM of 5 and 7:

##### Exploring the Different Methods

Hello, young mathematical adventurers! Today, join us on an exhilarating quest to uncover the mysterious connection between the numbers 5 and 7. Get ready for a journey filled with numerical wonders and exploration!

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LCM of 5 and 7

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 5 and 7?

The LCM of 5 and 7 is 35. Understanding the LCM is like possessing a special key to unlock mathematical challenges and simplify fractions. Let’s embark on three captivating methods to unveil this enchanting number!

## How to Find LCM of 5 and 7?

Before we dive into our quest to find the Least Common Multiple (LCM) of 5 and 7,  let’s acquaint ourselves with the extraordinary tools at our disposal. Picture 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 5 and 7 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 5 and 7. Are you ready? Let the excursion commence!

### 1. Prime Factorization Method

Envision numbers as detectives, and let’s dissect 5 and 7 into their prime agents:

• 5 = 5 x 1
• 7 = 7 x 1

Now, combine these agents to reveal the LCM magic: LCM(5,7) = 5 x 7 = 35.

### 2. Division Method

Embark on a riveting division adventure! Divide 5 and 7 by their prime agents until there’s no more room:

Multiply those amiable divisors: LCM (5,7) = 5 x 7 = 35

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 5 and 7. Follow these steps for an engaging exploration:

1. Identify multiples of the first number (5)

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, …

##### 2. Identify multiples of the second number (7)

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

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

Look for numbers that appear in both lists. In this case, 35 is the smallest number that is a multiple of both 5 and 7.

Therefore, the LCM of 5 and 7 is 35.

There you have it, intrepid math adventurers! Uncovering the LCM of 5 and 7 is akin to embarking on a fascinating quest. Keep exploring, keep smiling, and revel in the enchanting world of math!

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