## Calculator Use

Use this Least Common Denominator Calculator to find the lowest common denominator ( LCD ) of fractions, integers and interracial numbers. Finding the LCD is crucial because fractions need to have the lapp denominator when you are doing addition or subtraction mathematics with fractions .

## What is the Least Common Denominator?

The least common denominator ( LCD ) is the smallest number that can be a common denominator for a set of fractions. besides known as the lowest common denominator, it is the lowest number you can use in the denominator to create a typeset of equivalent fractions that all have the lapp denominator.

## How to Find the

LCD of Fractions, Integers and Mixed Numbers:

To find the least common denominator first commute all integers and mix numbers ( shuffle fractions ) into fractions. then find the lowest coarse multiple ( LCM ) of the denominators. This act is like as the least common denominator ( LCD ) .You can then write each term as an equivalent fraction with the same LCD denominator.

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### Steps to find the

LCD of fractions, integers and mixed numbers

- Convert integers and mixed numbers to improper fractions
- Find the LCD of all the fractions
- Rewrite fractions as equivalent fractions using the

LCD

### Example Using the Lowest Common Denominator Calculator

Find the LCD of : 1 1/2, 3/8, 5/6, 3

- Convert integers and mixed numbers to improper fractions.

3/8 and 5/6 are already fractions so we can use those as they are written.

1 1/2 is the same as (1/1) + (1/2). Using the formula for adding fractions, ((n1*d2)+(n2*d1)) / (d1*d2), we get ((1*2)+(1*1)) / (1*2) = 3/2.

3 can be rewritten as a fraction as 3/1 - Equivalent fractions are: 3/2, 3/8, 5/6, 3/1
- Now find the least common denominator (LCD) (or the

least common multiple (LCM) of the denominators)- LCD = 24

- Rewriting the fractions as equivalent fractions using the

LCD- 36/24, 9/24, 20/24, 72/24

## Related Calculators

We besides have calculators for least common multiple, mathematics with fractions, simplifying fractions, mathematics with interracial numbers, and comparing fractions .