LCM of 24 and 36:
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 24 and 36. Get ready for an adventure into the captivating world of numerical wonders!
LCM of 24 and 36:
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 24 and 36. Are you ready for an adventure into the captivating world of numerical wonders?
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LCM of 24 and 36
Methods for Finding LCM
Prime Factorization Method
Division Method
Listing the Multiples
What is LCM of 24 and 36?
The LCM of 24 and 36 is 72. 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 24 and 36?
Before we dive into our quest to find the Least Common Multiple (LCM) of 24 and 36, 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:
- Prime Factorization Method: Unveiling the secret numbers that guide us to the LCM.
- Division Method: Embarking on a journey of division until the LCM is discovered.
- Listing the Multiples: Inviting the friends of 24 and 36 to a gathering until we find their common liking – the LCM.
Now, let’s apply these tools to unravel the LCM for 24 and 36. Are you ready? Let the mathematical journey begin!
Prime Factorization Method
Visualize numbers as detectives, and let’s dissect 24 and 36 into their prime agents:
- 24 = 3 x 2 x 2 x 2
- 36 = 3 x 3 x 2 x 2
Now, combine these agents to reveal the LCM magic: LCM (24, 36) = 3 x 3 x 2 x 2 x 2 = 72
Division Method
Embark on a division adventure! Divide 24 and 36 by their prime agents until you reach the summit:
Multiply those friendly divisors: LCM (24, 36) = 3 x 2 x 2 x 2 x 3 = 72
Listing Method
Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 24 and 36. Follow these steps for an engaging exploration:
1. Identify multiples of the first number (24)
Multiples of 24: 24, 48, 72, 96…
2. Identify multiples of the second number (36)
Multiples of 36: 36, 72, 108, 144, 180…
3. Find the smallest common multiple
Look for numbers that appear in both lists. In this case, 72 is the smallest number that is a multiple of both 24 and 36.
Therefore, the LCM of 24 and 36 is 72.
Congratulations, intrepid mathematicians! Navigating the numeric pathways to uncover the LCM of 24 and 36 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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