What is the least common multiple of 2 and 5?
Understand the Problem
The question is asking us to find the least common multiple (LCM) of the numbers 2 and 5. The LCM is the smallest number that is a multiple of both numbers. To solve it, we can list the multiples of each number and find the smallest one that appears in both lists.
Answer
10
Answer for screen readers
The final answer is 10
Steps to Solve
-
List multiples of each number
First, list the multiples of 2 and 5 separately.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ...
- Identify the common multiples
Look for the smallest number that appears in both lists.
The common multiples are 10, 20, ...
- Determine the smallest common multiple
The smallest common multiple is 10.
The final answer is 10
More Information
Finding the LCM is useful in various real-life applications, such as adding fractions and solving problems involving synchronized events.
Tips
One common mistake is to stop listing multiples too early, missing the smallest common multiple. Make sure to extend your lists of multiples sufficiently to identify the correct LCM.
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