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.
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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
by finding the common denominator of the fractions
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.
If you divide a fraction by any common factor of the numerator and denominator you will get an equivalent fraction.
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.
Find the lowest common denominator 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 the lowest common multiple of the denominators
It is not always necessary to find the least common denominator to compare the sizes of fractions. When comparing fractions with the same denominator, you can simply compare the numerators. If the denominators are different, you can find a common denominator by multiplying the denominators together, but it is not always required for comparison. Alternatively, you can convert the fractions to decimals for easier comparison in some cases.
By finding their lowest common denominator
finding the least common denominator formula
by finding the common denominator of the fractions