# LCM of 9 and 15:

##### Exploring the Different Methods

Hello, young math enthusiasts! Today, let’s embark on an exciting journey to unveil the mystical connection between the numbers 9 and 15. Get ready for an adventure into the captivating world of numerical wonders!

# LCM of 9 and 15:

##### Exploring the Different Methods

Hello, young math enthusiasts! Today, let’s embark on an exciting journey to unveil the mystical connection between the numbers 9 and 15. Get ready for an adventure into the captivating world of numerical wonders!

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LCM of 9 and 15

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 9 and 15?

The LCM of 9 and 15 is 45. Understanding the LCM is like unlocking a mathematical treasure chest, simplifying complex problems and turning fractions into a breeze. Join us as we delve into three captivating methods to unveil this enchanting number!

## How to Find LCM of 9 and 15?

Before we dive into our quest to find the Least Common Multiple (LCM) of 9 and 15, 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 9 and 15 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 9 and 15. Are you ready? Let the mathematical journey begin!

### 1. Prime Factorization Method

Visualize numbers as detectives, and let’s dissect 9 and 15 into their prime agents:

• 9 = 3 x 3
• 15= 3 x 5

Now, combine these agents to reveal the LCM magic: LCM(9,15) = 3 x 3 x 5 = 45.

### 2. Division Method

Embark on a division adventure! Divide 9 and 15 by their prime agents until you reach the summit:

Multiply those friendly divisors: LCM (9,15) = 3 x 3 x 5 = 45.

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 9 and 15. 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 (15)

Multiples of 15: 15, 30, 45, 60, …

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

Look for numbers that appear in both lists. In this case, 45 is the smallest number that is a multiple of both 9 and 15.

Therefore, the LCM of 9 and 15 is 45.

Congratulations, intrepid mathematicians! Uncovering the LCM of 9 and 15 is like embarking on a grand voyage where numbers come together in perfect unison. Keep exploring, keep smiling, and revel in the enchanting world of math!

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