LCM of Fractions
To find the LCM of two fractions we first compute the LCM of Numerators and GCD of the Denominators. Then, both these results will be expressed as a fraction. The formula to calculate LCM of two fractions is given below:
LCM = LCM of Numerators / GCD of Denominators
Example: Find the LCM of 6/7 and 5/4.
Solution:
Numerators are 6, 5 and Denominators are 7, 4
We know that LCM of Fractions = LCM of Numerators / GCD of Denominators
Then, LCM(6, 5) = 30
and GCD(7, 4) = 1
Hence, LCM of 6/7 and 5/4 = 30/1 = 30.
LCM Formula
LCM Formula: LCM stands for Least Common Multiple. LCM of two numbers say a and b is defined as the smallest positive integer divisible by both the numbers a and b. Hence, the LCM is the smallest common multiple of two or more numbers. It is also called lowest common multiple, or smallest common multiple.
In this article, we will discuss LCM, Formulas to calculate LCM, and different methods used to find the LCM of two or more numbers.
Table of Content
- What is LCM?
- LCM Formula
- Finding LCM using HCF Formula
- LCM Formula for 2 Numbers
- LCM of Fractions
- LCM Calculator
- How to Find LCM (Lowest Common Multiple)?
- LCM by Listing Multiples
- LCM using Prime Factorization Method
- LCM using Division Method
- LCM Formula Examples
- Practice Questions on LCM Formula
- Properties of LCM
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