What is a common multiple of 8 and 12?
Understand the Problem
The question is asking for the common multiples of the numbers 8 and 12. A common multiple is a number that is a multiple of two or more numbers. To find common multiples, we will identify the multiples of both numbers and then determine which ones they have in common.
Answer
24, 48, 72, 96, ...
Answer for screen readers
The final answer is 24, 48, 72, 96, ...
Steps to Solve
- List the multiples of 8
First, we list several multiples of 8.
$$8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, \ldots$$
- List the multiples of 12
Next, we list several multiples of 12.
$$12, 24, 36, 48, 60, 72, 84, 96, \ldots$$
- Identify the common multiples
Find the numbers that appear in both lists.
$$24, 48, 72, 96, \ldots$$
- Conclusion
The smallest common multiple is the Least Common Multiple (LCM). Here it is 24.
The final answer is 24, 48, 72, 96, ...
More Information
The smallest common multiple of any set of integers is known as their Least Common Multiple (LCM), which in this case is 24.
Tips
A common mistake is to stop too early when listing the initial multiples. Make sure to list enough multiples to clearly identify common ones.
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