What is the first common multiple of 5 and 10?a) 15b) 5c) 10d) 20Corre...
The multiples of 5 are 5, 10, 15, 20, etc., and the multiples of 10 are 10, 20, etc. The first common multiple is 10.
What is the first common multiple of 5 and 10?a) 15b) 5c) 10d) 20Corre...
Understanding Common Multiples
To find the first common multiple of two numbers, we need to identify the multiples of each number and then find the smallest number that appears in both lists.
Multiples of 5
- The multiples of 5 are:
- 5, 10, 15, 20, 25, ...
Multiples of 10
- The multiples of 10 are:
- 10, 20, 30, 40, ...
Identifying the Common Multiples
Now, let's look for the common numbers in both sets:
- From the multiples of 5: 5, 10, 15, 20, ...
- From the multiples of 10: 10, 20, 30, ...
The common multiples we see are:
- 10 (first common multiple)
- 20 (second common multiple)
The First Common Multiple
The smallest number that appears in both lists is 10. Hence, the first common multiple of 5 and 10 is:
- 10
Conclusion
Therefore, the correct answer to the question is option 'C', which is 10. This is the least number that is a multiple of both 5 and 10. Understanding how to find common multiples is a fundamental concept in mathematics, especially useful in problems involving fractions, ratios, and least common multiples.