Least Common Denominator of 7, 10 and 16 (LCD of 7, 10 and 16)

Least Common Denominator (LCD) of 7, 10, and 16

The Least Common Denominator of 7, 10 and 16, also known as the Lowest Common Denominator of 7, 10 and 16, is useful if you need to add, subtract, or compare three fractions with the denominators of 7, 10 and 16.

The fractions with 7, 10 and 16 denominators will look like this:

		X
		7

		Y
		10

		Z
		16

The Least Common Denominator of 7, 10 and 16 is 560.

You need to multiply 7 by 80, 10 by 56, and 16 by 35 to make them all 560. 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:

		X x 80
		7 x 80

		Y x 56
		10 x 56

		Z x 35
		16 x 35

Which gives you the following three new fractions that you can add, subtract and compare:

		80X
		560

		56Y
		560

		35Z
		560

You can substitute X, Y and Z with the numerators of your fractions with 7, 10 and 16 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 7, 10 and 17
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Notes

The Least Common Denominator of 7, 10 and 16 is the same as the Least Common Multiple of 7, 10 and 16.

To calculate what to multiply each denominator and corresponding numerator by, we divided the LCD by each of the denominators.