Pregunta
3 What is the least common multiple of 5 and 10 ? A 1 B 5 D 50
Ask by Maxwell Wilson. in the United States
Feb 21,2025
Solución de inteligencia artificial de Upstudy
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The least common multiple of 5 and 10 is 10.
Solución
To find the least common multiple (LCM) of 5 and 10, we can follow these steps:
1. **List the multiples of each number:**
- Multiples of 5: 5, 10, 15, 20, 25, 30, ...
- Multiples of 10: 10, 20, 30, 40, ...
2. **Identify the common multiples:**
- The common multiples of 5 and 10 from the lists above are: 10, 20, 30, ...
3. **Determine the least common multiple:**
- The smallest common multiple is 10.
Thus, the least common multiple of 5 and 10 is 10.
Now, let's check the options provided:
- A: 1
- B: 5
- D: 50
None of these options include 10, which is the correct answer.
Therefore, the least common multiple of 5 and 10 is **10**.
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Simplifique esta solución Extra Insights
The least common multiple (LCM) of two numbers is the smallest multiple that both numbers share. In the case of 5 and 10, the multiples of 5 include 5, 10, 15, 20, and so on, while the multiples of 10 are 10, 20, 30, etc. The smallest number that appears in both lists is 10, making it the LCM of 5 and 10! If you ever feel stuck finding the LCM, a good rule of thumb is to list the multiples of each number until you spot the first common one. But watch out for skipping numbers! It’s easy to jump ahead and miss the obvious answer lurking right there in the list. So take your time and check your work!
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