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

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

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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:

 

division method 4 and 9

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, …

multiples of 4

 

2. Identify multiples of the second number (9)

Multiples of 9: 9,18,27,36,…

multiples of 9 lcm

 

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.

multiples of 4 and 9 lcm

 

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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