Best Answer

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.

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

By finding the lowest common denominator of the fractions.

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

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

By finding their lowest common denominator

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

Related questions

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.

Least common denominator.....

By finding the lowest common denominator of the fractions.

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.

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

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

By finding the lowest common multiple of the denominators

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

By finding their lowest common denominator

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

finding the least common denominator formula

by finding the common denominator of the fractions