Solution:Rewriting input together fractions if necessary:3/2, 3/8, 5/6, 3/1For the platform (2, 8, 6, 1) the least usual multiple (LCM) is 24.

You are watching: Common denominator of 6 and 7

LCM(2, 8, 6, 1)Therefore, the least usual denominator (LCD) is 24.Calculations to rewrite the original inputs as tantamount fractions v the LCD:
*

*

Calculator Use

Use this Least common Denominator Calculator to find the lowest usual denominator (LCD) that fractions, integers and also mixed numbers. Detect the LCD is important since fractions require to have actually the exact same denominator when you space doing enhancement or individually math v fractions.

See more: How Much Is 238 Grams Of Miralax Converted To Cups In 238 Grams Of Miralax?

What is the Least usual Denominator?

The least typical denominator (LCD) is the the smallest number that deserve to be a common denominator because that a set of fractions. Also known together the lowest typical denominator, it is the shortest number you can use in the denominator to produce a collection of tantamount fractions the all have actually the exact same denominator.

How to find the LCD that Fractions, Integers and Mixed Numbers:

To discover the least typical denominator first convert all integers and also mixed number (mixed fractions) right into fractions. Then discover the lowest usual multiple (LCM) the the denominators. This number is very same as the least typical denominator (LCD).You deserve to then write each term together an equivalent fraction with the very same LCD denominator.

Steps to find the LCD the fractions, integers and also mixed numbers

convert integers and also mixed numbers to wrong fractions uncover the LCD of all the fractions Rewrite fractions as tantamount fractions using the LCD

Example utilizing the Lowest common Denominator Calculator

Find the LCD of: 1 1/2, 3/8, 5/6, 3

convert integers and mixed number to not correct fractions. 3/8 and 5/6 are already fractions for this reason we have the right to use those as they room written. 1 1/2 is the exact same as (1/1) + (1/2). Making use of the formula for including fractions, ((n1*d2)+(n2*d1)) / (d1*d2), we obtain ((1*2)+(1*1)) / (1*2) = 3/2. 3 deserve to be rewritten as a portion as 3/1 equivalent fractions are: 3/2, 3/8, 5/6, 3/1 Now discover the least usual denominator (LCD) (or the least common multiple (LCM) of the denominators) LCD = 24 Rewriting the fractions as equivalent fractions making use of the LCD 36/24, 9/24, 20/24, 72/24

Related Calculators

We likewise have calculators because that least common multiple, math through fractions, simple fractions, math with mixed numbers, and comparing fractions.