Least Common Denominator Calculator
The Least Common Denominator Calculator calculates the value of the common denominator for a given set of fractions. The least common multiple(LCM) of two or more numbers is defined as the smallest number among all common multiples of the given numbers.
What is Least Common Denominator Calculator?
The Least Common Denominator Calculator is an online tool that helps to calculate the least common denominator for a given set of fractions. This online least common denominator calculator helps you to calculate the value of the least common denominator in a few seconds. To use this least common denominator calculator, please enter the values up to two digits only.
Least Common Denominator Calculator
How to Use Least Common Denominator Calculator?
Please follow the steps below to find the value of the least common denominator using an online least common denominator calculator:
- Step 1: Go to Cuemath’s online least common denominator calculator.
- Step 2: Enter the two set of fractions in the given input box of the least common denominator calculator.
- Step 3: Click on the "Find" button to find the value of the least common denominator.
- Step 4: Click on the "Reset" button to clear the fields and enter the new values.
How Least Common Denominator Calculator Works?
There are two simple steps to get a common denominator for a given set of fractions.
- Step 1: Find the Least Common Multiple (LCM) of the denominators of the fractions.
- Step 2: Multiply the fraction with an appropriate number, such that the denominators of the fractions are equal to the LCM value.
Let us understand this with the help of the following example.
Solved Examples on Least Common Denominator Calculator
Example 1:
Find the least common denominator for 3/4 and 1/6 and verify it using the least common denominator calculator?
Solution:
The given fractions are 3/4 and 1/6
The LCM of 4 and 6 = 12
In the first fraction, the denominator is 4. Now, we will have to check the number that we need to multiply this 4 by, to make it 12 (12 ÷ 4 = 3, here it's 3). Therefore, we multiply 3/4 by 3 so that the fraction becomes 9/12
In the second fraction, the denominator is 6. Again, we will have to check the number that we need to multiply this 6 by making it 12 (12 ÷ 6 = 2, here it's 2). Therefore, we multiply 1/6 by 2 so that the fraction becomes 2/12
Hence, we get 9/12 and 2/12 which have a common denominator 12 and they are the equivalent fractions of 3/4 and 1/6 respectively.
Now, try the least common denominator calculator to find the least common denominator for the following set of fractions.
- 4/5 and 3/11
- 12/17 and 15/51
- 7/11 and 14/19