lcm of 5, 8, and 6
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 5, 8, and 6. To solve this, we will identify the multiples of each number and find the smallest number that is common among them.
Answer
$24$
Answer for screen readers
The least common multiple of the numbers 5, 8, and 6 is $24$.
Steps to Solve
- Identify the multiples of each number
We'll start by listing the first few multiples of each number:
For 5:
$$ 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... $$
For 8:
$$ 8, 16, 24, 32, 40, 48, ... $$
For 6:
$$ 6, 12, 18, 24, 30, 36, 42, 48, 54, ... $$
- Find the common multiples
Next, we will look for common numbers in the lists we created.
The common multiples of 5, 8, and 6 from our lists are:
$$ 24, 30, 40, 48, ... $$
- Identify the least common multiple (LCM)
From our list of common multiples, we need to pick the smallest one.
The smallest common multiple is:
$$ 24 $$
The least common multiple of the numbers 5, 8, and 6 is $24$.
More Information
The least common multiple is useful in many areas such as solving problems with fractions, scheduling, and ensuring that different cycles work together harmoniously.
Tips
- Not listing enough multiples; it's important to have a sufficient number to find the common multiples.
- Overlooking smaller common multiples; sometimes the smallest may not be obvious without checking all options.
