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 2×32 \times 3.
  • 4 can be factored as 222^2.
  • 8 can be factored as 232^3.

Step 2: Take the Highest Powers of All Prime Factors

  • The highest power of 22 is 232^3 from 8.
  • The highest power of 33 is 33 from 6.

Step 3: Multiply the Highest Powers Together

LCM=23×3=8×3=24\text{LCM} = 2^3 \times 3 = 8 \times 3 = 24

So, the LCM of 6, 4, and 8 is 24.

Would you like more details or have any questions?


Here are 8 related questions:

  1. What is the LCM of 10, 15, and 20?
  2. How can you find the LCM of multiple numbers using the listing method?
  3. What is the LCM of 3, 7, and 21?
  4. How is the LCM used in solving simultaneous equations?
  5. What is the relationship between the LCM and the greatest common divisor (GCD)?
  6. What is the LCM of 9, 12, and 18?
  7. Can you find the LCM of two prime numbers?
  8. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Factorization
Arithmetic

Formulas

LCM using prime factorization

Theorems

-

Suitable Grade Level

Grades 6-8