LCD Calculator

Calculate the Least Common Denominator (LCD) of a set of numbers.

Calculator

Enter Your Numbers

Enter numbers separated by commas (e.g., 1, 2, 3, 4, 5)

Table of Contents

1 LCD Formula
2 How to Calculate LCD
3 LCD - Practical Examples
Concept

LCD Formula

The Least Common Denominator (LCD) is the smallest number that is a multiple of all the denominators in a set of fractions.

Formula:
LCD = LCM(denominators)
Steps

How to Calculate LCD

To calculate the LCD, follow these steps:

  1. 1
    List all the denominators
  2. 2
    Find the Least Common Multiple (LCM) of these denominators
  3. 3
    The LCM is your LCD

For example, to find the LCD of 1/2, 1/3, and 1/4:

Example Calculation:
LCD = LCM(2, 3, 4) = 12
Examples

LCD - Practical Examples

Example 1 Adding Fractions

Find the LCD for 1/3 and 1/4 to add them together.

LCD = LCM(3, 4) = 12

Example 2 Multiple Fractions

Find the LCD for 1/2, 1/3, 1/4, and 1/6.

LCD = LCM(2, 3, 4, 6) = 12

Example 3 Complex Fractions

Find the LCD for 1/5, 1/10, and 1/15.

LCD = LCM(5, 10, 15) = 30

Tools

Mathematics Calculators

Significant Figures Mean Logarithm Fraction Lcd

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