LCM of fractions formula explained with examples

Learn and know how to find LCM of fractions? This is a small topic and important topic that we all learn in the lower classes.

LCM of fractions formula explained with examples

I hope you know how to find the LCM of numbers and also how to find HCF of numbers. These two topics are very important to understand how we can find the LCM of fractions. We know that for finding the LCM of numbers, we have different methods. But in case of fractions, for finding the LCM there are no methods. Then how to find LCM for fractions, for this we need to know the formula.

What is mean by LCM?

In mathematics, LCM stands for L-Least, C-Common and M-Multiple. LCM is nothing but finding the least number in the common multiples. If it numbers we know how to find LCM, if it is fractions then what is the way of finding it. This we are going to learn know.

Formula for LCM of fractions as follows:

To find the LCM of fractions, we need to learn a formula. Directly we can find the LCM as like numbers.

The LCM of fractions is given as   \frac { LCM\quad of\quad Numerators }{ HCF\quad of\quad Denominators }

Remember the formula correctly, if it is LCM of fractions LCM comes first i.e. in Numerator and then HCF i.e. in Denominators.

Note:

LCM of fractions value always need not be fraction.

Examples:

Find the LCM of \frac { 5 }{ 7 } ,\frac { 3 }{ 4 }

Solution:

According to above given formula, find out the LCM of numerators and the HCF of Denominators.

LCM of Numerators 5 and 3 is 15

HCF of Denominators 7 and 4 is 1

Therefore LCM of \frac { 5 }{ 7 } ,\frac { 3 }{ 4 } is \frac { 15 }{ 1 } = 15

What is the LCM of the fractions \frac { 9 }{ 4 } ,\frac { 13 }{ 6 } ,\frac { 3 }{ 2 } ?

Solution:

According to above given formula, find out the LCM of numerators and the HCF of Denominators.

LCM of Numerators 9, 13 and 3 is 117

HCF of Denominators 4, 6 and 2 is 2

Therefore, LCM of \frac { 9 }{ 4 } ,\frac { 13 }{ 6 } ,\frac { 3 }{ 2 } is \frac { 117 }{ 2 }

I hope now you have learnt an important topic i.e. how to find LCM of given fractions. Still if you want to be perfect on this topic, take some example problems and solve them.

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