Least Common Denominator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Do you want to master the concept of the Least Common Denominator easily? Then take the help of this article and learn different methods for finding the LCD. You will find all about the Definition of LCD, Other Names, and How to find it easily. In addition, you will get related details like LCM of Two Numbers, LCM of Three Numbers, How to find LCM, etc.
Ex: LCD of 24, 48, 64 (or) LCD of 16, 56, 12 (or) LCD of 8, 72, 48
Here are some samples of Least Common Denominator of Numbers calculations.
Related Calculators:
List of LCD or LCM Calculators
Along with the Procedures to find LCD you can get different tools for LCD over here. Access them through the direct links available and find the Least Common Denominator or Least Common Multiple in no time. Attain faster and accurate results for problems ranging from basic to advanced level. The free online tools available for the LCD or LCM is as under
- LCD Calculator
- How to find LCM
- LCM of two Numbers Calculator
- LCM of 3 Numbers Calculator
- LCM of 4 Numbers Calculator
- LCM of 5 Numbers Calculator
- LCM of Decimals Calculator
- LCM of Fractions Calculator
Let's dive deep into the article to know all about the Definition, Other Names of LCD, How to find LCD using various methods.
All about Least Common Denominator
Let's wait no further and learn all the Basics like Denominator, Common Denominator, Least Common Denominator to know about the concept easily.
What is Denominator?
The denominator is usually the bottom part of a fraction. It shows how many equal parts the item is divided.
Example: 3/4 Here 4 is the denominator and the item is divided into 4 equal parts.
What is the Common Denominator?
If the denominators of two or more fractions are the same then they are said to have common Denominators.
Example: 2/5 + 3/5
In the given fractions both of them are having the same or common denominators i.e. 5
Definition of Least Common Denominator
The Least Common Denominator is the smallest number of all the common multiples of denominators if two or more fractions are given. Least Common Denominator in short is represented as LCD.
Example: What is the LCD of 2/9+ 3/4?
As both the fractions have different denominators. Firstly find the common multiples of both the denominators
Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81
Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44
Common Multiple is 36
Now that we found the Least Common Multiple let's express it
= 2/9+3/4
= (2/9)*(4/4)+(3/4)*(9/9)
= (8/36)+(27/36)
=35/36
Why LCD is useful?
Least Common Denominator for Fractions is useful to determine the result as a part of the whole. You can use the Concept of LCD to solve numerous problems easily and quickly.
Other Names of Least Common Denominator
The acronym of the Least Common Denominator is LCD. It is also known as the Lowest Common Denominator(LCD), Lowest Common Factor(LCF), or Least Common Multiple(LCM).
Check out lcmgcf.com to get full-fledged knowledge on various concepts like LCM, GCF, HCF and learn about them quickly.
There are several techniques to find the Least Common Denominator. You can use the Prominent methods to find the LCM or LCD of numbers as per the method you feel comfortable. They are along the lines
- LCD of Numbers using the Listing Multiples
- LCM of Fractions using Formula
Check out the quick links available and access the step by step procedure involved for various methods. You can understand the concepts better with the solved examples provided for each technique.