Math Problem Statement
What is the LCM of 6, 4 and 8?
Solution
To find the Least Common Multiple (LCM) of 6, 4, and 8, we can follow the steps below:
Step 1: Prime Factorization
- 6 can be factored as .
- 4 can be factored as .
- 8 can be factored as .
Step 2: Take the Highest Powers of All Prime Factors
- The highest power of is from 8.
- The highest power of is from 6.
Step 3: Multiply the Highest Powers Together
So, the LCM of 6, 4, and 8 is 24.
Would you like more details or have any questions?
Here are 8 related questions:
- What is the LCM of 10, 15, and 20?
- How can you find the LCM of multiple numbers using the listing method?
- What is the LCM of 3, 7, and 21?
- How is the LCM used in solving simultaneous equations?
- What is the relationship between the LCM and the greatest common divisor (GCD)?
- What is the LCM of 9, 12, and 18?
- Can you find the LCM of two prime numbers?
- How do you find the LCM using the prime factorization method?
Tip: When finding the LCM, always take the highest powers of all prime factors involved to ensure the correct result.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Prime Factorization
Arithmetic
Formulas
LCM using prime factorization
Theorems
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Suitable Grade Level
Grades 6-8