# LCM of 3 and 4:

##### Exploring the Different Methods

Greetings, fellow math adventurers! Today, we set sail into the intriguing domain of LCM, aiming to unravel the mystical connection between the numbers 3 and 4. Get ready for an odyssey filled with curiosity and mathematical wonder!

# LCM of 3 and 4:

##### Exploring the Different Methods

Greetings, fellow math adventurers! Today, we set sail into the intriguing domain of LCM, aiming to unravel the mystical connection between the numbers 3 and 4. Get ready for an odyssey filled with curiosity and mathematical wonder!

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LCM of 3 and 4

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 3 and 4?

The LCM of 3 and 4 is 12! Understanding the LCM transforms complex math puzzles into a breeze and turns fractions into a mathematical delight. Let’s explore three captivating methods to unveil this mathematical marvel!

## How to Find LCM of 3 and 4?

Before we plunge into the depths of discovering the Least Common Multiple (LCM) of 3 and 4, let’s acquaint ourselves with the nifty methods at our disposal. It’s akin to having three unique tools for a special mathematical quest. 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 3 and 4 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 3 and 4. Ready? Let’s go!

### 1. Prime Factorization Method

Let’s treat numbers as astute detectives and dissect 3 and 4 into their prime agents:

• 3 = 3
• 4 = 2 x 2

Now, combine these agents to discover the LCM magic: LCM(3, 4) = 3 x 2 x 2 = 12

### 2. Division Method

Envision an adventurous journey of division! Divide 3 and 4 by their prime agents until we reach an impasse:

Multiply those divisors: LCM (3, 4) = 2 x 2 x 3 = 12.

### 3. Listing Method

Unleash the potency of a 100 square to unveil the Least Common Multiple (LCM) of 3 and 4. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (3)

Multiples of 3: 3, 6, 9, 12, 15, 18, …

##### 2. Identify multiples of the second number (4)

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

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

Seek numbers that appear in both lists. In this case, 12 is the smallest number that is a multiple of both 3 and 4.

Therefore, the LCM of 3 and 4 is 12.

And there you have it, aspiring math explorers! Unveiling the LCM of 3 and 4 is akin to discovering the hidden symphony of mathematical harmony. Keep exploring, keep smiling, and savor the enchanting world of math!

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