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:
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!
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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:
- 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 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:
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, …
2. Identify multiples of the second number (9)
Multiples of 9: 9,18,27,36,…
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.
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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