To find the Least Common Multiple (LCM) of 12, 9, and 6, we can follow these steps:

Step 1: Prime Factorization

• 12 can be factored as $2^2 \times 3$.
• 9 can be factored as $3^2$.
• 6 can be factored as $2 \times 3$.

Step 2: Take the Highest Powers of All Prime Factors

• The highest power of $2$ is $2^2$ from 12.
• The highest power of $3$ is $3^2$ from 9.

Step 3: Multiply the Highest Powers Together

$\text{LCM} = 2^2 \times 3^2 = 4 \times 9 = 36$

So, the LCM of 12, 9, and 6 is 36.

Would you like more details or have any questions?

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Here are 8 related questions:

1. What is the LCM of 15, 20, and 25?
2. How do you find the LCM of two numbers?
3. What is the difference between LCM and GCD?
4. Can LCM be smaller than the largest number in the set?
5. How do you find the LCM using the division method?
6. What is the LCM of 8, 14, and 28?
7. Why is LCM important in solving problems with fractions?
8. How is the LCM used in real-life applications?

Tip: Understanding the LCM is crucial when working with fractions, especially when adding or subtracting them with different denominators.