# LCM of 12 and 15:

##### Exploring the Different Methods

Hello, young math adventurers! Today, let’s embark on a thrilling journey to uncover the magical connection between the numbers 12 and 15. Get ready for an exciting exploration into the world of numerical wonders!

# LCM of 12 and 15:

##### Exploring the Different Methods

Hello, young math adventurers! Today, let’s embark on a thrilling journey to uncover the magical connection between the numbers 12 and 15. Get ready for an exciting exploration into the world of numerical wonders!

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LCM of 12 and 15

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 12 and 15?

The LCM of 12 and 15 is 60. Understanding the LCM is akin to unlocking a mathematical treasure chest that simplifies complex problems and turns fractions into a breeze. Join us as we delve into three captivating methods to unveil this enchanting number!

## How to Find LCM of 12 and 15?

Before we dive into our quest to find the Least Common Multiple (LCM) of 12 and 15, let’s familiarize ourselves with the magical methods at our disposal. Imagine these methods as keys to unlock the secrets of 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 12 and 15 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 12 and 15. Ready? Let’s go!

### 1. Prime Factorization Method

Picture numbers as detectives and break down 12 and 15 into their prime agents:

• 12 = 2 x 2 x 3
• 15 = 3 x 5

Now, combine these agents to reveal the LCM magic: LCM(12, 15) = 2 x 2 x 3 x 5 = 60.

### 2. Division Method

Embark on a division adventure! Divide 12 and 15 by their prime agents until you reach the summit:

Multiply those amiable divisors: LCM(12,15) = 2 × 2 × 3 × 5 = 60

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 12 and 15. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (12)

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

##### 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, 60 is the smallest number that is a multiple of both 12 and 15.

Therefore, the LCM of 12 and 15 is 60.

Congratulations, intrepid mathematicians! Uncovering the LCM of 12 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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