LCM of 6 and 14:

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 6 and 14. Get ready for an adventure into the captivating world of numerical wonders!

lcm of 6 and 14

LCM of 6 and 14:

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 6 and 14. Are you ready for an adventure into the captivating world of numerical wonders?

lcm of 6 and 14

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LCM of 6 and 14

Methods for Finding LCM 

Prime Factorization Method 

Division Method 

Listing the Multiples 

What is LCM of 6 and 14?

The LCM of 6 and 14 is 42. 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 6 and 14?

Before we dive into our quest to find the Least Common Multiple (LCM) of 6 and 14, 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 6 and 14 to a gathering until we find their common liking – the LCM.
 

Now, let’s apply these tools to unravel the LCM for 6 and 14. Are you ready? Let the mathematical journey begin!

 

Prime Factorization Method

Visualize numbers as detectives, and let’s dissect 6 and 14 into their prime agents:

  • 6 = 3 x 2
  • 14 = 7 x 2

Now, combine these agents to reveal the LCM magic: LCM (6, 14) = 3 x 7 x 2 =  42

Division Method

Embark on a division adventure! Divide 6 and 14 by their prime agents until you reach the summit:

 

division method lcm 6 and 14

Multiply those friendly divisors: LCM (6, 14) = 2 x 3 x 7 = 42

Listing Method

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 6 and 14. Follow these steps for an engaging exploration:

1. Identify multiples of the first number (6)

Multiples of 6: 6, 12, 18, 24, 30…

multiples of 6 lcm

2. Identify multiples of the second number (14)

Multiples of 14: 14, 28, 42, 56, 70…

multiples of 14 lcm

3. Find the smallest common multiple

Look for numbers that appear in both lists. In this case, 42 is the smallest number that is a multiple of both 6 and 14.

multiple of 6 and 14 lcm

Therefore, the LCM of 6 and 14 is 42.

Congratulations, intrepid mathematicians! Navigating the numeric pathways to uncover the LCM of 6 and 14 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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