Hey there, young math adventurers! Today, we’re setting sail on a thrilling journey to uncover the magical connection between the numbers 4 and 6. Get ready for an enchanting expedition into the fascinating realm of mathematics!

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LCM of 4 and 6

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

The LCM of 4 and 6 is 12. Understanding the LCM is like having a secret map to navigate tricky math puzzles and make friends out of fractions. Let’s dive into three fantastic methods to unveil this magical number!

Before we plunge into the depths of discovering the Least Common Multiple (LCM) of 4 and 6, let’s acquaint ourselves with the ingenious methods at our disposal. It’s akin to having three unique tools for a special mathematical quest. 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 4 and 6 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 4 and 6. Ready? Let’s go!

Envision numbers as detectives and break down 4 and 6 into their special prime agents:

- 4 = 2 x 2
- 6 = 2 x 3

Now, combine these agents to discover the LCM magic: LCM(4, 6) = 2 x 2 x 3 = 12.

Embark on a division escapade! Divide 4 and 6 by their prime agents until you can’t anymore:

Multiply those divisors: LCM (4, 6) = 2 x 2 x 3 = 12

Let’s unleash the power of a 100 square to determine the Least Common Multiple (LCM) of 4 and 6. Follow these steps for an engaging exploration:

Multiples of 4: 4, 8, 12, 16, 20, …

Multiples of 6: 6, 12, 18, 24, 30, …

Look for numbers that appear in both lists. In this case, 12 is the smallest number that is a multiple of both 4 and 6.

Therefore, the LCM of 4 and 6 is 12.

And there you have it, young math adventurers! Finding the LCM of 4 and 6 is like discovering a hidden doorway to a world where numbers dance and play together. Keep exploring, keep smiling, and enjoy the enchanting world of math!

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