Least Common Denominator of 2, 4 and 10 (LCD of 2, 4 and 10)

Least Common Denominator (LCD) of 2, 4, and 10

The Least Common Denominator of 2, 4 and 10, also known as the Lowest Common Denominator of 2, 4 and 10, is useful if you need to add, subtract, or compare three fractions with the denominators of 2, 4 and 10.

The fractions with 2, 4 and 10 denominators will look like this:

		X
		2

		Y
		4

		Z
		10

The Least Common Denominator of 2, 4 and 10 is 20.

You need to multiply 2 by 10, 4 by 5, and 10 by 2 to make them all 20. 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 10
		2 x 10

		Y x 5
		4 x 5

		Z x 2
		10 x 2

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

		10X
		20

		5Y
		20

		2Z
		20

You can substitute X, Y and Z with the numerators of your fractions with 2, 4 and 10 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 2, 4 and 11
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Notes

The Least Common Denominator of 2, 4 and 10 is the same as the Least Common Multiple of 2, 4 and 10.

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