Least Common Denominator (LCD) of 32, 33, and 65
The Least Common Denominator of 32, 33 and 65, also known as the Lowest Common Denominator of 32, 33 and 65, is useful if you need to add, subtract, or compare three fractions with the denominators of 32, 33 and 65.
The fractions with 32, 33 and 65 denominators will look like this:
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The Least Common Denominator of 32, 33 and 65 is 68640.
You need to multiply 32 by 2145, 33 by 2080, and 65 by 1056 to make them all 68640. Furthermore, you need to multiply the numerators by the same amounts to keep the fraction values the same.
Therefore, you have to make the following calculations so the fractions keep the same value and get the same denominator:
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Which gives you the following three new fractions that you can add, subtract and compare:
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You can substitute X, Y and Z with the numerators of your fractions with 32, 33 and 65 denominators. This way you can add, subtract and compare your fractions correctly.
Least Common Denominator Calculator
Please enter another two or three denominators below so we can calculate the Least Common Denominator (LCD) for you:
Least Common Denominator (LCD) of 32, 33 and 66
Here is the next set of numbers we have calculated the LCD for.
Notes
The Least Common Denominator of 32, 33 and 65 is the same as the Least Common Multiple of 32, 33 and 65.
To calculate what to multiply each denominator and corresponding numerator by, we divided the LCD by each of the denominators.