lcd of 6 and 5
Understand the Problem
The question is asking for the least common denominator (LCD) of the numbers 6 and 5, which involves finding the smallest number that is a multiple of both given numbers.
Answer
$30$
Answer for screen readers
The least common denominator (LCD) of 6 and 5 is $30$.
Steps to Solve
- Identify the multiples of each number
First, we need to list the multiples of both numbers, 6 and 5.
- The multiples of 6 are: $6, 12, 18, 24, 30, ...$
- The multiples of 5 are: $5, 10, 15, 20, 25, 30, ...$
- Find the common multiples
Next, we look for the multiples that appear in both lists.
- The multiples of 6 are: $6, 12, 18, 24, 30, ...$
- The multiples of 5 are: $5, 10, 15, 20, 25, 30, ...$
- The common multiple in both lists is: $30$
- Select the least common multiple (LCM)
Now that we found the common multiples, we take the smallest one.
- The least common multiple (LCM) of 6 and 5 is $30$.
The least common denominator (LCD) of 6 and 5 is $30$.
More Information
The least common denominator is useful when adding or subtracting fractions with different denominators. By finding the LCD, you can convert the fractions to have a common denominator, making the arithmetic straightforward.
Tips
- Overlooking smaller multiples: Sometimes, students may think a larger common multiple is the least. It's important to check the smallest common value.
- Forgetting to list enough multiples: Make sure to list enough multiples, as the least common multiple may not appear in the initial few values.
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