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Lowest Common Denominator Calculator

Created by Komal Rafay
Reviewed by Steven Wooding
Last updated: Jan 18, 2024


We made the lowest common denominator calculator for all mathematics enthusiasts and curious minds.

It helps determine the lowest common denominator (LCD) of fractions for up to 5 fractions.

Some of your questions that we will address are:

  • How to find the lowest common denominator?
  • What is the significance of the lowest common denominator?

And some real-life examples of the lowest common denominator are also given.

If that piques your curiosity, then continue reading!

How to use the lowest common denominator calculator

The lowest common denominator calculator is not only helping you determine just one numerical answer but also the steps behind achieving said number.

The first thing that the calculator offers you is the form of the fraction. Is it simple? Is it mixed? After you choose the form of the fraction, you have the privilege to enter up to 5 different fractions in terms of their numerator and denominator.

  1. You input the numerator of the first fraction.

  2. Then, input the denominator of the first fraction.

  3. This completes the first fraction.

  4. Then, you move to the section of the second fraction and do the same.

  5. Afterwards, the calculator estimates the lowest common denominator of the fractions.

  6. You have another option to see a step by step solution. If you choose yes, the tool displays a breakdown of the mathematics. Choose yes, and the steps involved in calculating the lowest common denominator are displayed.

So, for instance, you input 2 simple fractions; 3/5 and 5/6. The tool evaluates the LCD as 30, and the fractions are re-written as 18/30 and 25/30, respectively.

Significance of lowest common denominator

The lowest common denominator (LCD) is the smallest number you can use to express two or more fractions in the same terms.

It simplifies fractions by expressing them as equivalent fractions with the same denominator.

The LCD is important because it allows fractions to be added, subtracted, multiplied, and divided without having to convert them to decimals. It also helps to compare fractions and determine which is larger or smaller.

Examples of lowest common denominator in our daily lives

We always wonder what implementations do different concepts of mathematics have in our daily life.

So here is a list of examples of lowest common denominator in our daily lives.

  • Calculating the cost of a meal when splitting the bill between two people. The lowest common denominator is the smallest unit of currency to ensure that the bill is split evenly.

  • LCD also helps in calculating the average grade of a class when the grades are given in different units (e.g., percentages, letter grades, etc.). The lowest common denominator would be a numerical value (e.g., 0-100) to ensure that all grades are given equal weight.

  • The lowest common denominator assists converting fractions to decimals. The LCD would be the denominator of the fraction, which is used to divide the numerator to get the decimal equivalent.

  • The lowest common denominator in traffic lights synchronizes the timing of the lights. This helps to ensure that traffic flows smoothly and safely, as all the lights will change at the same time.

Other tools in the LCD domain

Here are some other tools at Omni that might interest you in the LCD (lowest common denominator) domain.

FAQ

What is the lowest common denominator of 2/3 and 7/4?

12 is the lowest common denominator of 2/3 and 7/4.

The fractions would be rewritten as:

2/3 × 4/4 = 8/12

7/4 × 3/3 = 21/12

How can I find the lowest common denominator of 2 fractions?

To determine the lowest common denominator of two fractions, follow the steps below:

  1. Note down the multiple of both the denominators.
  2. Highlight the common multiples among them.
  3. Pick the lowest common multiple.
  4. That is your lowest common denominator; hence, the fraction should be transformed accordingly.

For instance, the lowest common denominator of 3/7 and 5/2 is 14.

Komal Rafay
Fraction form
Simple fraction
Values (enter up to 5 fractions)
1st fraction
Numerator (n₁)
Denominator (d₁)
2nd fraction
Numerator (n₂)
Denominator (d₂)
Lowest common denominator
Step by step solution?
No
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