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# Why is factoring important in finding a least common denominator?

Updated: 9/19/2023

Wiki User

11y ago

You can find a common denominator without factoring but it will not be the least such number. That means that you will end up working with numbers that are far larger than they need be.

For example,

5/12 + 7/18

Using LCD = 36: 15/36 + 14/36 = 29/36

Without LCD : 90/216 + 84/216 = 174/216 which can then be simplified to 29/36.

Wiki User

11y ago

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Q: Why is factoring important in finding a least common denominator?
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Related questions

### Why might it be important to know to calculate least common multiples?

The process of finding the LCM is the same as finding the least common denominator which is important when you want to add and subtract fractions.

### What is useful in finding the least common denominator when adding unlike denominators?

Least common denominator.....

### How do you subtract fractions when denominator is different?

By finding the lowest common denominator of the fractions.

### Why do you think it is important to know how to find the common denominator of two rational polynomials?

You need to find the common denominator in order to add or subtract them. You can only add or subtract "like things" and by finding a common denominator you make both rational expressions into things that can be added or subtracted.

### How can factoring both the numerator and the denominator of a fraction help to write an equivalent fraction?

If you divide a fraction by any common factor of the numerator and denominator you will get an equivalent fraction.

### What is the rule of adding and subtracting different denominator?

Find the lowest common denominator by finding the lowest common multiple of the denominators

### How do I find a common denominator in a fraction?

By finding the lowest common multiple of the denominators

### What is meant by factor?

Reducing fractions to their lowest terms by finding their highest common factor of the numerator and denominator When adding or subtracting fractions with different denominators by finding their lowest common multiple

### How do you add a dissimilar fraction?

By finding their lowest common denominator

### Is it always necessary to find the least common denominator to compare the sizes of fractions?

When comparing fractions you must find a common denominator; by finding the least common denominator it will keep the numbers (numerators and denominator) smaller .

### What do you call a process of finding the factors of the given products?

finding the least common denominator formula

### How do you subtract fractions with unequal denominators?

by finding the common denominator of the fractions