# LCM of 3 and 9:

##### Exploring the Different Methods

Hello, young mathematical adventurers! Today, we embark on a thrilling odyssey to unveil the mystical connection between the numbers 3 and 9. Prepare yourselves for a journey filled with mathematical wonders and discovery!

# LCM of 3 and 9:

##### Exploring the Different Methods

Hello, young mathematical adventurers! Today, we embark on a thrilling odyssey to unveil the mystical connection between the numbers 3 and 9. Prepare yourselves for a journey filled with mathematical wonders and discovery!

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LCM of 3 and 9

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 3 and 9?

The LCM of 3 and 9 is 9. Understanding the LCM is like possessing a key to unlock mathematical challenges and transform fractions into a breeze. Let’s delve into three captivating methods to reveal this enchanting number!

## How to Find LCM of 3 and 9?

Before we dive into our quest to find the Least Common Multiple (LCM) of 3 and 9, let’s acquaint ourselves with the incredible tools at our disposal. Imagine possessing three unique 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 3 and 9 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 3 and 9. Are you ready? Let the adventure begin!

### 1. Prime Factorization Method

Picture numbers as detectives, and let’s dissect 3 and 9 into their prime agents:

• 3 = 3 x 1
• 9 = 3 x 3

Now, combine these agents to reveal the LCM magic: LCM(3, 9) = 3 x 3 = 9

### 2. Division Method

Embark on an exhilarating division adventure! Divide 3 and 9 by their prime agents until there’s no more room:

Multiply those friendly divisors: LCM (3,9) = 3 x 3 = 9

### 3. Listing Method

Time for a multiple gathering! Jot down the companions of 3 and 9 until they converge at the same spot:

1. Identify multiples of the first number (3)

Multiples of 3: 3, 6, 9, 12, …

##### 2. Identify multiples of the second number (9)

Multiples of 9: 9, 18, 27, …

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

Look for numbers that appear in both lists. In this case, 9 is the smallest number that is a multiple of both 3 and 9.

Therefore, the LCM of 3 and 9 is 9.

There you have it, adventurous math explorers! Unveiling the LCM of 3 and 9 is like deciphering a hidden message. Keep exploring, keep smiling, and revel in the enchanting world of math!

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