LCM of 5 and 12:

Exploring the Different Methods

Greetings, young math enthusiasts! Today, let’s set sail on a mathematical voyage to uncover the fascinating connection between the numbers 5 and 12. Get ready for an adventure into the captivating world of numerical wonders!

lcm of 5 and 12

LCM of 5 and 12:

Exploring the Different Methods

Greetings, young math enthusiasts! Today, let’s set sail on a mathematical voyage to uncover the fascinating connection between the numbers 5 and 12. Are you ready for an adventure into the captivating world of numerical wonders?

lcm of 5 and 12

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LCM of 5 and 12 

Methods for Finding LCM 

Prime Factorization Method 

Division Method 

Listing the Multiples 

What is LCM of 5 and 12?

The LCM of 5 and 12 is 60. Understanding the LCM is like discovering a mathematical treasure chest, simplifying complex problems and making fractions a breeze. Join us as we explore three captivating methods to unveil this enchanting number!

How to Find LCM of 5 and 12?

Before we dive into our quest to find the Least Common Multiple (LCM) of 5 and 12, let’s acquaint ourselves with the magical methods at our disposal. Imagine these methods as keys to unlock the secrets of a special mission. 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 5 and 12 to a gathering until we find their common liking – the LCM.
 

Now, let’s apply these tools to unravel the LCM for 5 and 12. Are you ready? Let the mathematical journey begin!

 

Prime Factorization Method

Visualize numbers as detectives, and let’s dissect 5 and 12 into their prime agents:

  • 5 = 5 x 1
  • 12 = 2 x 2 x 3 

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

Division Method

Embark on a division adventure! Divide 5 and 12 by their prime agents until you reach the summit:

 

division method lcm 5 and 12

Multiply those friendly divisors: LCM (5, 12) = 2 x 2 x 3 x 5 = 60

Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 5 and 12. Follow these steps for an engaging exploration:

1. Identify multiples of the first number (5)

Multiples of 5: 5, 10, 15, 20, 25, 30, …

multiples of 5 lcm

2. Identify multiples of the second number (12)

Multiples of 12: 12, 24, 36, 48, 60…

multiples of 12 lcm

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 5 and 12.

multiple of 5 and 12 lcm

Therefore, the LCM of 5 and 12 is 60.

Congratulations, intrepid mathematicians! Navigating the numeric pathways to uncover the LCM of 5 and 12 is like embarking on a grand adventure where numbers harmonize perfectly. Keep exploring, keep smiling, and revel in the enchanting world of math! 

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