LCM of 5 and 7:
Exploring the Different Methods
Hello, young mathematical adventurers! Today, join us on an exhilarating quest to uncover the mysterious connection between the numbers 5 and 7. Get ready for a journey filled with numerical wonders and exploration!
LCM of 5 and 7:
Exploring the Different Methods
Hello, young mathematical adventurers! Today, join us on an exhilarating quest to uncover the mysterious connection between the numbers 5 and 7. Get ready for a journey filled with numerical wonders and exploration!
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LCM of 5 and 7
Methods for Finding LCM
Prime Factorization Method
Division Method
Listing the Multiples
What is LCM of 5 and 7?
The LCM of 5 and 7 is 35. 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 5 and 7?
Before we dive into our quest to find the Least Common Multiple (LCM) of 5 and 7, let’s acquaint ourselves with the extraordinary tools at our disposal. Picture having three distinct keys to unlock a treasure chest. 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 5 and 7 to a gathering until we find their common liking – the LCM.
Now, let’s apply these tools to unravel the LCM for 5 and 7. Are you ready? Let the excursion commence!
1. Prime Factorization Method
Envision numbers as detectives, and let’s dissect 5 and 7 into their prime agents:
- 5 = 5 x 1
- 7 = 7 x 1
Now, combine these agents to reveal the LCM magic: LCM(5,7) = 5 x 7 = 35.
2. Division Method
Embark on a riveting division adventure! Divide 5 and 7 by their prime agents until there’s no more room:
Multiply those amiable divisors: LCM (5,7) = 5 x 7 = 35
3. Listing Method
Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 5 and 7. Follow these steps for an engaging exploration:
1. Identify multiples of the first number (5)
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, …
2. Identify multiples of the second number (7)
Multiples of 7: 7, 14, 21, 28, 35, 42, …
3. Find the smallest common multiple
Look for numbers that appear in both lists. In this case, 35 is the smallest number that is a multiple of both 5 and 7.
Therefore, the LCM of 5 and 7 is 35.
There you have it, intrepid math adventurers! Uncovering the LCM of 5 and 7 is akin to embarking on a fascinating quest. Keep exploring, keep smiling, and revel in the enchanting world of math!
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