What is the LCM of 2 and 10?
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 2 and 10. To find the LCM, we need to identify the smallest multiple that both numbers share. The high-level approach will involve listing the multiples of each number and finding the smallest common one.
Answer
10
Answer for screen readers
The least common multiple (LCM) of 2 and 10 is 10.
Steps to Solve
- List the multiples of each number
List out the first few multiples of each number.
Multiples of 2: 2, 4, 6, 8, 10, 12, ...
Multiples of 10: 10, 20, 30, 40, ...
- Identify the smallest common multiple
Find the smallest multiple that appears in both lists.
The smallest common multiple is 10.
- Conclusion
Since 10 is the smallest multiple that appears in both lists, it is the least common multiple (LCM).
The least common multiple (LCM) of 2 and 10 is 10.
More Information
The LCM is useful in problems involving adding, subtracting, or comparing fractions with different denominators.
Tips
A common mistake is stopping too early when listing multiples. Always ensure you've found the smallest common multiple.
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