lcm of 20 and 50
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 20 and 50. To find the LCM, we will identify the multiples of each number and determine the smallest common multiple they share.
Answer
$100$
Answer for screen readers
The least common multiple (LCM) of 20 and 50 is $100$.
Steps to Solve
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List the multiples of each number
First, we will find some multiples of 20 and 50.
The first few multiples of 20 are:
$20, 40, 60, 80, 100, 120, 140, 160, ...$
The first few multiples of 50 are:
$50, 100, 150, 200, ...$ -
Identify the common multiples
Next, we will determine which multiples are common to both lists.
From the lists above, the common multiples are:
$100, 200, ...$ -
Determine the least common multiple
The least common multiple is the smallest number found in both lists.
Here, the smallest common multiple is $100$.
The least common multiple (LCM) of 20 and 50 is $100$.
More Information
The LCM is a useful concept in various math applications, especially in solving problems involving fractions, ratios, or scheduling. The LCM of two numbers is the smallest number that is a multiple of both, which can help find common denominators.
Tips
- Forgetting to list enough multiples: Ensure you list enough multiples to find common ones.
- Confusing LCM with GCD (greatest common divisor): Remember, LCM is the smallest common multiple, while GCD is the largest common factor.
