How To Find The LCM Of Fractions

Finding the LCM of fractions is very important especially in the addition and subtraction of fractions.

In this lesson, you will learn the 3 methods for finding the LCM of fractions.

BONUS: A link to practice questions on fractions is included at the end of this lesson.

METHOD 1

If the fractions have the same denominators, their LCM is that same denominator.

EXAMPLE 1:

The LCM of \dfrac{2}{3} and \dfrac{1}{3}

= 3

METHOD 2

If the fractions have different denominators and the biggest denominator can be divided by the other denominators without remainder, then their LCM is that biggest denominator.

EXAMPLE 2:

The LCM of \dfrac{1}{6} and \dfrac{1}{3}

= 6

METHOD 3

If the fractions have different denominators and none of the denominators can divide any of the denominator, then their LCM is the multiplication of all of the denominators.

EXAMPLE 3:

The LCM of \dfrac{1}{3} and \dfrac{1}{8}

= 24

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