# LCM of 4 and 9:

##### Exploring the Different Methods

Greetings, young mathematical adventurers! Today, join us on an exciting excursion to unravel the intriguing connection between the numbers 4 and 9. Brace yourselves for a journey filled with numerical wonders and exploration!

# LCM of 4 and 9:

##### Exploring the Different Methods

Greetings, young mathematical adventurers! Today, join us on an exciting excursion to unravel the intriguing connection between the numbers 4 and 9. Brace yourselves for a journey filled with numerical wonders and exploration!

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LCM of 4 and 9

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 4 and 9?

The LCM of 4 and 9 is 36. Understanding the LCM is like possessing a special key to unlock mathematical challenges and simplify fractions. Let’s embark on three captivating methods to unveil this enchanting number!

## How to Find LCM of 4 and 9?

Before we dive into our quest to find the Least Common Multiple (LCM) of 4 and 9, let’s acquaint ourselves with the extraordinary tools at our disposal. Picture having three distinct keys to unlock a treasure chest. Here they are:

1. Prime Factorization Method: Unveiling the secret numbers that guide us to the LCM.
2. Division Method: Embarking on a journey of division until the LCM is discovered.
3. Listing the Multiples: Inviting the friends of 4 and 9 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 4 and 9. Are you ready? Let the excursion commence!

### 1. Prime Factorization Method

Envision numbers as detectives, and let’s dissect 4 and 9 into their prime agents:

• 4 = 2 x 2
• 9 = 3 x 3

Now, combine these agents to reveal the LCM magic: LCM(3,9) =2 x 2 x 3 x 3 = 36

### 2. Division Method

Embark on a riveting division adventure! Divide 4 and 9 by their prime agents until there’s no more room:

Multiply those friendly divisors: LCM (4,9) = 2 x 2 x 3 x 3 = 36

### 3. Listing Method

Time for a multiple gathering! Jot down the companions of 4 and 9 until they converge at the same spot:

1. Identify multiples of the first number (4)

Multiples of 4: 4, 8, 12, 16, …

##### 2. Identify multiples of the second number (9)

Multiples of 9: 9,18,27,36,…

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

Look for numbers that appear in both lists. In this case, 36 is the smallest number that is a multiple of both 4 and 9.

Therefore, the LCM of 4 and 9 is 36.

There you have it, intrepid math adventurers! Uncovering the LCM of 4 and 9 is akin to embarking on a fascinating excursion. Keep exploring, keep smiling, and revel in the enchanting world of math!

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