# LCM of 10 and 12:

##### Exploring the Different Methods

Greetings, budding mathematicians! Today, we embark on a delightful journey to unravel the fascinating connection between the numbers 10 and 12. Join us as we explore the enchanting realm of numerical harmony!

# LCM of 10 and 12:

##### Exploring the Different Methods

Greetings, budding mathematicians! Today, we embark on a delightful journey to unravel the fascinating connection between the numbers 10 and 12. Join us as we explore the enchanting realm of numerical harmony!

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LCM of 10 and 12

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 10 and 12?

The LCM of 10 and 12 is 60. Understanding the LCM is akin to wielding a magical wand that simplifies tricky math problems and transforms fractions into a breeze. Let’s embark on three captivating methods to unveil this mystical number!

## How to Find LCM of 10 and 12?

Before we dive into our quest to find the Least Common Multiple (LCM) of 10 and 12, let’s acquaint ourselves with the magical methods at our disposal. Picture it as having three magical keys 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 10 and 12 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 10 and 12. Ready? Let’s go!

### 1. Prime Factorization Method

Envision numbers as detectives and break down 10 and 12 into their prime agents:

• 10 = 2 x 5
• 12 = 2 x 2 x 3

Now, combine these agents to discover the LCM magic: LCM(10, 12) = 2 x 2 x 3 x 5 = 60.

### 2. Division Method

Embark on a division adventure! Divide 10 and 12 by their prime agents until you reach the summit:

Multiply those amiable divisors: LCM(10,12) = 2 × 2 × 3 × 5 = 60

### 3. Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 10 and 12. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (10)

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

##### 2. Identify multiples of the second number (12)

Multiples of 12: 12, 24, 36, 48, 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 10 and 12.

Therefore, the LCM of 10 and 12 is 60.

Bravo, young mathematicians! Discovering the LCM of 10 and 12 is like composing a beautiful melody where numbers dance in perfect harmony. Keep exploring, keep smiling, and revel in the enchanting world of math! 🚀✨

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