Math Problem Statement

Find the common multiples of 3 and 4 between 20 and 30

Solution

To find the common multiples of 3 and 4 between 20 and 30, we first need to find the least common multiple (LCM) of 3 and 4.

  1. The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
  2. The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, ...

The least common multiple of 3 and 4 is 12.

Now, to find the common multiples between 20 and 30:

  • The common multiples of 3 and 4 are: 12, 24, 36, ...

So, the only common multiple of 3 and 4 between 20 and 30 is 24.

Would you like more details or have any other questions?

Here are 5 related questions for you:

  1. What is the LCM of 6 and 8 between 50 and 100?
  2. How do you find the greatest common divisor (GCD) of two numbers?
  3. What are the common factors of 12 and 18?
  4. How can we use prime factorization to find the LCM?
  5. What is the next common multiple of 3 and 4 after 24?

Tip: To find the least common multiple of two numbers, you can multiply the numbers and divide by their greatest common divisor (GCD).

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Math Problem Analysis

Mathematical Concepts

Multiples
Least Common Multiple (LCM)

Formulas

LCM(a, b) = (a * b) / GCD(a, b)

Theorems

Least Common Multiple (LCM) Theorem

Suitable Grade Level

Grades 5-7