# LCM of 4 and 10:

##### Exploring the Different Methods

Hello, young math discoverers! Today, we’re setting off on a special journey to unravel the magical connection between the numbers 4 and 10. Get ready for an exciting adventure into the awesome world of mathematics!

# LCM of 4 and 10:

##### Exploring the Different Methods

Hello, young math discoverers! Today, we’re setting off on a special journey to unravel the magical connection between the numbers 4 and 10. Get ready for an exciting adventure into the awesome world of mathematics!

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LCM of 4 and 10

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 4 and 10?

The LCM of 4 and 10 is 20. Understanding the LCM is like having a secret code to unlock tricky math puzzles and turn fractions into friends. Let’s explore three fantastic methods to unveil this magical number!

## How to Find LCM of 4 and 10?

Before we dive into our quest to find the Least Common Multiple (LCM) of 4 and 10, let’s discover the incredible methods we can use. It’s like having three magical 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 4 and 10 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 10. Ready? Let’s go!

### 1. Prime Factorization Method

Imagine numbers as superheroes and break down 4 and 10 into their special prime powers:

• 4 = 2 x 2
• 10 = 2 x 5

Now, combine these agents to discover the LCM magic: LCM(4, 10) = 2 x 2 x 5 = 20.

### 2. Division Method

Embark on a division journey! Divide 4 and 10 by their superhero powers until you can’t anymore:

Multiply those divisors: LCM (4, 10) = 2 x 2 x 5 = 20

### 3. Listing Method

Let’s unleash the power of a 100 square to find the Least Common Multiple (LCM) of 4 and 10. 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 (10)

Multiples of 10: 10, 20, 30, 40, 50, …

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

Look for numbers that appear in both lists. In this case, 20 is the smallest number that is a multiple of both 4 and 10.

Therefore, the LCM of 4 and 10 is 20.

And there you have it, young math adventurers! Finding the LCM of 4 and 10 is like discovering a secret door that opens up to a world where numbers dance, laugh, and play together. Keep exploring, keep smiling, and enjoy the enchanting world of math.

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