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LCD Calculator

LCD Calculator is the best tool to find the Least Common Denominator and make all your calculations at a quicker rate with doubt clearance and concept learning. Just enter the input numbers in the given field and click on the calculate button to avail the results in a fraction of a second.

Ex: LCD 12, 48, 64 (or) LCD 16, 56, 22 (or) LCD 8, 72, 48

LCD of

Here are some samples of LCD of Numbers calculations.

Related Calculators:

LCD Calculator: Are you looking to find the LCD but are getting tangled up in the process of calculation? Don't worry we are here to help you to with our user-friendly LCD Calculator tool that calculates the Least Common Denominator of given inputs in a blink of an eye. Know all about what exactly is Least Common Denominator and how to find it without using the calculator. Apart from that, you will also get to know the solved examples for finding the LCD of the given numbers.

What is meant by LCD(Least Common Denominator)?

What is an LCD?

The lowest common multiple of the denominators of a group of fractions is known as the lowest common denominator or least common denominator. It makes adding, subtracting and comparing fractions easier.

How to Find LCD: Formula and Step by Step Calculation

Here are the steps to find LCD by using the listing of multiples method:

  1. Check the fractions given & make a list of denominators.
  2. Take each denominator separately & make a list of multiples of each number.
  3. Check the list of all multiples & find the smallest common multiples among them.
  4. Rewrite the fractions & use the same multiplier to multiply the numerator as the denominator.
  5. We can now solve the problem of fractions as the denominators are the same.

Solved Example Find the Least Common Denominator

Example:

Find the least common denominator of the fractions 3/5, 4/3 & 5/6.

Solution:

Here, the fractions are 3/5, 4/3 & 5/6.

& the denominators are 5, 3 & 6.

Now, we will write the multiples of each number to find the common multiple among them.

Multiples of 3 = 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 & so on

Multiples of 5 = 10, 15, 20, 25, 30, 35 & so on

Multiples of 6 = 12, 18, 24, 30, 36 & so on

Here, the common multiple among all these multiples is 30.

Now, after taking LCD, the fraction becomes like this:

3/5 = (3x 6) / (5 x 6) = 18 / 30

4/3 = (4 x 10) / (3 x 10) = 40 / 30

5/6 = (5 x 5) / (6 x 5) = 25 / 30

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FAQs on LCD Calculator with Steps

  • How do you find the LCD in rational expressions?

To calculate the LCD in rational expressions, first, we factor the expressions and then multiplication is performed of all the distinct factors calculated.

  • What is the LCD of 5 and 10?

The LCD of 5 and 10 is 10.

  • What does LCD mean on a calculator?

It refers to the Least Common Denominator or the smallest number that can be selected as the denominator for a particular set of fractions.

  • How do you find the LCD of two fractions?

LCD is the least common denominator and to find LCD of fractions, first, we convert all the integers and mixed fractions into fractions and then determine the lowest possible common denominator for all the fractions.