# LCM of 4 and 6:

##### Exploring the Different Methods

Hey there, young math adventurers! Today, we’re setting sail on a thrilling journey to uncover the magical connection between the numbers 4 and 6. Get ready for an enchanting expedition into the fascinating realm of mathematics!

# LCM of 4 and 6:

##### Exploring the Different Methods

Hey there, young math adventurers! Today, we’re setting sail on a thrilling journey to uncover the magical connection between the numbers 4 and 6. Get ready for an enchanting expedition into the fascinating realm of mathematics!

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LCM of 4 and 6

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 4 and 6?

The LCM of 4 and 6 is 12. Understanding the LCM is like having a secret map to navigate tricky math puzzles and make friends out of fractions. Let’s dive into three fantastic methods to unveil this magical number!

## How to Find LCM of 4 and 6?

Before we plunge into the depths of discovering the Least Common Multiple (LCM) of 4 and 6, let’s acquaint ourselves with the ingenious methods at our disposal. It’s akin to having three unique tools for a special mathematical quest. 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 4 and 6 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 4 and 6. Ready? Let’s go!

### 1. Prime Factorization Method

Envision numbers as detectives and break down 4 and 6 into their special prime agents:

• 4 = 2 x 2
• 6 = 2 x 3

Now, combine these agents to discover the LCM magic: LCM(4, 6) = 2 x 2 x 3 = 12.

### 2. Division Method

Embark on a division escapade! Divide 4 and 6 by their prime agents until you can’t anymore:

Multiply those divisors: LCM (4, 6) = 2 x 2 x 3 = 12

### 3. Listing Method

Let’s unleash the power of a 100 square to determine the Least Common Multiple (LCM) of 4 and 6. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (4)

Multiples of 4: 4, 8, 12, 16, 20, …

##### 2. Identify multiples of the second number (6)

Multiples of 6: 6, 12, 18, 24, 30, …

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

Look for numbers that appear in both lists. In this case, 12 is the smallest number that is a multiple of both 4 and 6.

Therefore, the LCM of 4 and 6 is 12.

And there you have it, young math adventurers! Finding the LCM of 4 and 6 is like discovering a hidden doorway to a world where numbers dance and play together. Keep exploring, keep smiling, and enjoy the enchanting world of math!

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