What are the common multiples of 12 and 16?
Understand the Problem
The question is asking for the common multiples of the numbers 12 and 16. To solve this, we need to identify the multiples of both numbers and then find the ones that are shared by each.
Answer
48, 96, 144, etc.
Answer for screen readers
The common multiples of 12 and 16 are 48, 96, 144, etc.
Steps to Solve
-
List the multiples of 12
First, we list several multiples of 12: $12, 24, 36, 48, 60, 72, 84, \ldots$
- List the multiples of 16
Next, we list several multiples of 16: $16, 32, 48, 64, 80, 96, 112, \ldots$
- Identify the common multiples
Finally, we look at both lists and identify the numbers that appear in both lists. The first few common multiples are: $48, 96, 144, \ldots$
The common multiples of 12 and 16 are 48, 96, 144, etc.
More Information
Common multiples are multiples that two or more numbers share. The least common multiple (LCM) of two numbers is the smallest common multiple.
Tips
A common mistake is stopping too early when listing multiples. Ensure you list enough multiples from both numbers to find the common ones.
