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 solve it, we need to identify the multiples of both numbers and find the smallest one that is common to both.
Answer
The LCM of 20 and 50 is $100$.
Answer for screen readers
The least common multiple (LCM) of 20 and 50 is $100$.
Steps to Solve
- List the multiples of each number
First, we will find the multiples of both numbers.
For 20, the first few multiples are: $$20, 40, 60, 80, 100, 120, ...$$
For 50, the first few multiples are: $$50, 100, 150, 200, ...$$
- Identify the common multiples
Next, we look for the numbers that appear in both lists of multiples.
From our lists, the common multiples of 20 and 50 are: $$100, 200, ...$$
- Find the least common multiple
Now, we need to determine the smallest number in the list of common multiples.
The least common multiple (LCM) of 20 and 50 is: $$100$$
The least common multiple (LCM) of 20 and 50 is $100$.
More Information
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more numbers. In this case, both 20 and 50 divide evenly into 100.
Tips
- Forgetting to list enough multiples, which can lead to missing the least common multiple.
- Confusing least common multiple with greatest common divisor (GCD).
