# LCM of 9 and 12:

##### Exploring the Different Methods

Greetings, young mathematicians! Today, we embark on a marvelous mathematical quest to unveil the extraordinary connection between the numbers 9 and 12. Prepare yourselves for an exciting journey into the captivating world of numbers!

# LCM of 9 and 12:

##### Exploring the Different Methods

Greetings, young mathematicians! Today, we embark on a marvelous mathematical quest to unveil the extraordinary connection between the numbers 9 and 12. Prepare yourselves for an exciting journey into the captivating world of numbers!

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LCM of 9 and 12

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 9 and 12?

The LCM of 9 and 12 is 36. Understanding the LCM is like possessing a key to solve intricate math puzzles and tame the complexities of fractions. Let’s embark on three intriguing methods to discover this magical number!

## How to Find LCM of 9 and 12?

Before we dive into our quest to find the Least Common Multiple (LCM) of 9 and 12,  let’s discover the remarkable methods at our disposal. It’s akin to having three enchanting tools for a special mission. 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 9 and 12 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 9 and 12. Ready? Let’s go!

### 1. Prime Factorization Method

Visualize numbers as detectives and break down 9 and 12 into their prime agents:

• 9 = 3 x 3
• 12 = 2 x 2 x 3

Now, combine these agents to discover the LCM magic: LCM(9, 12) = 2 x 2 x 3 x 3 = 36.

### 2. Division Method

Embark on a division adventure! Divide 9 and 12 by their prime agents until you reach the ultimate destination:

Multiply those divisors: LCM (9, 12) = 2 × 2 × 3 × 3 = 36.

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 9 and 12. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (9)

Multiples of 9: 9, 18, 27, 36, 45, …

##### 2. Identify multiples of the second number (12)

Multiples of 12: 12, 24, 36, 48, 60, …

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

Look for numbers that appear in both lists. In this case, 36 is the smallest number that is a multiple of both 9 and 12.

Therefore, the LCM of 9 and 12 is 36.

There you have it, intrepid math explorers! Discovering the LCM of 9 and 12 is like unlocking a door to a realm where numbers dance together in harmony. Keep exploring, keep smiling, and relish the enchanting world of math!