Greetings, young mathematicians! Today, we embark on a marvelous mathematical quest to unveil the extraordinary connection between the numbers 9 and 12. Prepare yourselves for an exciting journey into the captivating world of numbers!

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LCM of 9 and 12

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

The LCM of 9 and 12 is 36. Understanding the LCM is like possessing a key to solve intricate math puzzles and tame the complexities of fractions. Let’s embark on three intriguing methods to discover this magical number!

Before we dive into our quest to find the Least Common Multiple (LCM) of 9 and 12, let’s discover the remarkable methods at our disposal. It’s akin to having three enchanting tools for a special mission. Here they are:

**Prime Factorization Method**: We’ll find secret numbers that help us figure out the LCM.**Division Method**: It’s like going on a journey of dividing numbers until we get to the LCM.**Listing the Multiples**: We’ll list out the friends of 9 and 12 until we find the one they both like – that’s our LCM.

Now, let’s use these tools to solve the mystery of the LCM for 9 and 12. Ready? Let’s go!

Visualize numbers as detectives and break down 9 and 12 into their prime agents:

- 9 = 3 x 3
- 12 = 2 x 2 x 3

Now, combine these agents to discover the LCM magic: LCM(9, 12) = 2 x 2 x 3 x 3 = 36.

Embark on a division adventure! Divide 9 and 12 by their prime agents until you reach the ultimate destination:

Multiply those divisors: LCM (9, 12) = 2 × 2 × 3 × 3 = 36.

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 9 and 12. Follow these steps for an engaging exploration:

Multiples of 9: 9, 18, 27, 36, 45, …

Multiples of 12: 12, 24, 36, 48, 60, …

Look for numbers that appear in both lists. In this case, 36 is the smallest number that is a multiple of both 9 and 12.

Therefore, the LCM of 9 and 12 is 36.

There you have it, intrepid math explorers! Discovering the LCM of 9 and 12 is like unlocking a door to a realm where numbers dance together in harmony. Keep exploring, keep smiling, and relish the enchanting world of math!

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