# LCM of 3 and 7:

##### Exploring the Different Methods

Hey there, little math wizards! Today, we’re embarking on an exciting journey to unravel the mysteries of LCM, unveiling the magical connection between the numbers 3 and 7. Get ready for a captivating adventure into the wonders of mathematics!

# LCM of 3 and 7:

##### Exploring the Different Methods

Hey there, little math adventurers! Today, we’re setting off on a fantastic journey to explore the world of LCM, uncovering the magical connection between the numbers 3 and 7. Get ready for a fun-filled adventure into the wonders of mathematics!

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LCM of 3 and 7

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 3 and 7?

The LCM of 3 and 7 is 21. Knowing the LCM helps us solve cool math puzzles and makes numbers friends. Let’s dive into three awesome ways to find it!

## How to Find LCM of 3 and 7?

Before we plunge into the depths of discovering the Least Common Multiple (LCM) of 3 and 7. Let’s check out the super cool ways we can do it. It’s like having three magic tools for a special job. 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 3 and 7 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 3 and 7. Ready? Let’s go!

### 1. Prime Factorization Method

Picture numbers as secret agents and break down 3 and 7 into their special prime agents:

• 3 = 3
• 7 = 7

Now, combine these agents to discover the LCM magic: LCM(3, 7) = 3 x 7 = 21.

### 2. Division Method

Embark on a division adventure! Divide 3 and 7 by their prime agents until you can’t anymore:

Multiply those divisors: LCM (3, 7) = 3 x 7 = 21.

### 3. Listing Method

Let’s unleash the power of a 100 square to determine the Least Common Multiple (LCM) of 3 and 7. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (3)

Multiples of 3: 3, 6, 9, 12, 15, 18, …

##### 2. Identify multiples of the second number (7)

Multiples of 7: 7, 14, 21, 28, 35, 42, …

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

Seek numbers that appear in both lists. In this case, 21 is the smallest number that is a multiple of both 3 and 7.

Therefore, the LCM of 3 and 7 is 21.

And there you have it, young math wizards! Finding the LCM of 3 and 7 is like unlocking the secret door to a world where numbers dance and play together. Keep exploring, keep smiling, and enjoy the enchanting world of math!

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