# LCM of 7 and 4:

##### Exploring the Different Methods

Greetings, young mathematicians! Today, let’s embark on a thrilling mathematical journey to uncover the hidden harmony between the numbers 7 and 4. Brace yourselves for an exploration filled with mathematical wonders and excitement!

# LCM of 7 and 4:

##### Exploring the Different Methods

Greetings, young mathematicians! Today, let’s embark on a thrilling mathematical journey to uncover the hidden harmony between the numbers 7 and 4. Brace yourselves for an exploration filled with mathematical wonders and excitement!

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LCM of 7 and 4

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 7 and 4?

The LCM of 7 and 4 is 28. 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 4?

Before we dive into our quest to find the Least Common Multiple (LCM) of 7 and 4, 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 5 and 9 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 7 and 4. Are you ready? Let the mathematical journey begin!

### 1. Prime Factorization Method

Visualize numbers as detectives, and let’s dissect 4 and 7 into their prime agents:

• 7 = 7 x 1
• 4 = 2 x 2

Now, combine these agents to reveal the LCM magic: LCM(7,4) = 2 x 2 x 7 = 28.

### 2. Division Method

Embark on a riveting division adventure! Divide 7 and 4 by themselves until there’s no more room:

Multiply those friendly divisors: LCM (7,4) = 2 x 2 x 7 = 28.

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 7 and 4. 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 (4)

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …

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

Look for numbers that appear in both lists. In this case, 28 is the smallest number that is a multiple of both 4 and 7.

Therefore, the LCM of 7 and 4 is 28.

There you have it, curious math adventurers! Uncovering the LCM of 4 and 7 is akin to navigating a fascinating mathematical terrain. Keep exploring, keep smiling, and revel in the enchanting world of math!

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