What is the LCM of 10 and 25?
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 10 and 25. To find the LCM, we need to determine the smallest number that is a multiple of both 10 and 25.
Answer
$50$
Answer for screen readers
The least common multiple (LCM) of 10 and 25 is $50$.
Steps to Solve
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List the multiples of each number First, we will list a few multiples of 10 and 25.
- Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
- Multiples of 25: 25, 50, 75, 100, 125, ...
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Identify the common multiples Next, we will find the common multiples from the lists created in the first step.
- Common multiples: 50, 100, ...
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Find the least common multiple (LCM) The least common multiple is the smallest number that appears in both lists. From our common multiples, the LCM of 10 and 25 is 50.
The least common multiple (LCM) of 10 and 25 is $50$.
More Information
The least common multiple is useful in various fields such as scheduling, where you want to find when two events that repeat at different intervals will coincide again. In this case, both 10 and 25 are factors of 50, showing how finding LCM can help identify overlap.
Tips
- Not understanding multiples: Some might confuse factors with multiples. Remember, multiples of a number are generated by multiplying the number with integers.
- Missing common multiples: It's easy to overlook some common multiples. Ensure to list enough multiples to find the smallest one.
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