Greetings, young mathematicians! Today, let’s embark on a thrilling mathematical journey to uncover the hidden harmony between the numbers 7 and 4. Brace yourselves for an exploration filled with mathematical wonders and excitement!

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LCM of 7 and 4

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

The LCM of 7 and 4 is 28. Understanding the LCM acts like a magical compass, guiding us through mathematical challenges and simplifying fractions. Join us as we dive into three captivating methods to reveal this enchanting number!

Before we dive into our quest to find the Least Common Multiple (LCM) of 7 and 4, let’s familiarize ourselves with the extraordinary tools at our disposal. Imagine 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 9 to a gathering until we find their common liking – the LCM.

Now, let’s apply these tools to unravel the LCM for 7 and 4. Are you ready? Let the mathematical journey begin!

Visualize numbers as detectives, and let’s dissect 4 and 7 into their prime agents:

- 7 = 7 x 1
- 4 = 2 x 2

Now, combine these agents to reveal the LCM magic: LCM(7,4) = 2 x 2 x 7 = 28.

Embark on a riveting division adventure! Divide 7 and 4 by themselves until there’s no more room:

Multiply those friendly divisors: LCM (7,4) = 2 x 2 x 7 = 28.

Unleash the power of a 100 square to find the Least Common Multiple (LCM) of 7 and 4. Follow these steps for an engaging exploration:

1. Identify multiples of the first number (7)

Multiples of 7: 7, 14, 21, 28, 35, 42, …

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …

Look for numbers that appear in both lists. In this case, 28 is the smallest number that is a multiple of both 4 and 7.

Therefore, the LCM of 7 and 4 is 28.

There you have it, curious math adventurers! Uncovering the LCM of 4 and 7 is akin to navigating a fascinating mathematical terrain. Keep exploring, keep smiling, and revel in the enchanting world of math!

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