# LCM of 12 and 16:

##### Exploring the Different Methods

Greetings, young math enthusiasts! Today, we embark on an exciting journey to uncover the mystical bonds between the numbers 12 and 16. Get ready for an adventure filled with exploration and mathematical marvels!

# LCM of 12 and 16:

##### Exploring the Different Methods

Greetings, young math enthusiasts! Today, we embark on an exciting journey to uncover the mystical bonds between the numbers 12 and 16. Get ready for an adventure filled with exploration and mathematical marvels!

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LCM of 12 and 16

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 12 and 16?

The LCM of 12 and 16 is 48. Understanding the LCM helps us conquer intricate math challenges and simplifies working with fractions. Let’s dive into three captivating methods to unveil this magical number!

## How to Find LCM of 12 and 16?

Before we dive into our quest to find the Least Common Multiple (LCM) of 12 and 16, let’s acquaint ourselves with the incredible tools at our disposal. Imagine possessing three distinct keys to unlock a treasure chest. Here they are:

1. Prime Factorization Method: Unraveling the secret numbers that lead us to the LCM.
2. Division Method: Embarking on a journey of division until we uncover the LCM.
3. Listing the Multiples: Inviting the friends of 12 and 16 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to demystify the LCM for 12 and 16. Are you ready? Let’s begin!

### 1. Prime Factorization Method

Consider numbers as detectives, and let’s dissect 12 and 16 into their prime agents:

• 12 = 2 x 2 x 3
• 16 = 2 x 2 x 2 x 2

Now, combine these agents to reveal the LCM magic: LCM(12, 16) = 2 x 2 x 2 x 2 x 3 = 48.

### 2. Division Method

Imagine an exhilarating division adventure! Divide 12 and 16 by their prime agents until there’s no more room:

Multiply those friendly divisors: LCM (12,16) = 2 × 2 × 2 x 2 x 3 = 48.

### 3. Listing Method

Time for a multiple gathering! Jot down the companions of 12 and 16 until they converge at the same spot:

1. Identify multiples of the first number (12)

Multiples of 12: 12, 24, 36, 48, …

##### 2. Identify multiples of the second number (16)

Multiples of 16: 16, 32, 48, 64, …

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

Look for numbers that appear in both lists. In this case, 48 is the smallest number that is a multiple of both 12 and 16.

Therefore, the LCM of 12 and 16 is 48.

There you have it, adventurous math explorers! Determining the LCM of 12 and 16 is akin to deciphering a treasure map. Keep exploring, keep smiling, and relish the enchanting world of math!

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