lcm of 5 and 25
Understand the Problem
The question is asking to find the least common multiple (LCM) of the numbers 5 and 25. To do this, we will identify the multiples of both numbers and determine the smallest common multiple between them.
Answer
The least common multiple (LCM) of 5 and 25 is $25$.
Answer for screen readers
The least common multiple (LCM) of 5 and 25 is $25$.
Steps to Solve
- List the multiples of each number
First, we will find the multiples of both 5 and 25.
Multiples of 5:
- $5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...$
Multiples of 25:
- $25, 50, 75, 100, 125, ...$
- Identify the common multiples
Next, we will look for common multiples in the lists we created.
From the multiples of 5 and 25, we can see that the common multiples are:
- $25, 50, 75, ...$
- Find the least common multiple (LCM)
Now that we have identified the common multiples, we will choose the smallest one.
The least common multiple of 5 and 25 is:
- $25$
The least common multiple (LCM) of 5 and 25 is $25$.
More Information
The least common multiple is important in various applications, such as adding fractions with different denominators. It allows us to find a common denominator quickly.
Tips
- A common mistake is not realizing that a number can be a multiple of itself (in this case, 25 is also a multiple of 5).
- Remembering to check the smallest common multiple is crucial; sometimes the first common multiple we recognize is not the smallest.
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