Whats the least common denominator of 3/4 4/5 and 2/3

Calculator Use

Use this Least Common Denominator Calculator to find the lowest common denominator (LCD) of fractions, integers and mixed numbers. Finding the LCD is important because fractions need to have the same denominator when you are doing addition or subtraction math with fractions.

What is the Least Common Denominator?

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

How to Find the LCD of Fractions, Integers and Mixed Numbers:

To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple (LCM) of the denominators. This number is same as the least common denominator (LCD).You can then write each term as an equivalent fraction with the same LCD denominator.

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

1. Convert integers and mixed numbers to improper fractions
2. Find the LCD of all the fractions
3. Rewrite fractions as equivalent fractions using the LCD

Example Using the Lowest Common Denominator Calculator

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

• Convert integers and mixed numbers to improper fractions.
  3/8 and 5/6 are already fractions so we can use those as they are written.
  1 1/2 is the same as (1/1) + (1/2). Using the formula for adding fractions, ((n1*d2)+(n2*d1)) / (d1*d2), we get ((1*2)+(1*1)) / (1*2) = 3/2.
  3 can be rewritten as a fraction as 3/1
• Equivalent fractions are: 3/2, 3/8, 5/6, 3/1
• Now find the least common denominator (LCD) (or the least common multiple (LCM) of the denominators)
  • LCD = 24
• Rewriting the fractions as equivalent fractions using the LCD
  • 36/24, 9/24, 20/24, 72/24

Related Calculators

We also have calculators for least common multiple, math with fractions, simplifying fractions, math with mixed numbers, and comparing fractions.

What is LCD?

The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. LCD is the smallest positive integer that is multiple denominators in the set. Fractions write with fraction bar / like 3/4 .

Example: for LCD calculation of three fractions 1/2 2/3 5/4, enter 1/2 2/3 5/4.

How to calculate LCD

The same fraction we can express in many different forms. If the ratio between numerator and denominator is the same, the fractions represent the same rational number.

The least common denominator of a set of fractions is the least number that is a multiple of all the denominators: their "least common multiple".
The Method of calculating the LCD is the same as the calculation least common multiple of fractions denominators.
The simple method for common computing denominators (not least at all) is to multiply all denominators.

Questions and word problems to LCD

• LCD 2
  
  
  The least common denominator of 2/5, 1/2, and 3/4
• Fractions
  
  
  Sort fractions z1 = (20)/(9); z2 = (10)/(21); z3 = (15)/(14) by their size. The result writes as three serial numbers 1,2,3.
• Centipede 4257
  
  
  Centipede Mirka consists of a head and several articles. Each pair has one pair of legs. When it got cold, she decided to get dressed. Therefore, she put on a sock on her left foot in the third article from the end and then on every other third article. S
• Two gears
  
  
  The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ]
• LCD two fractions
  
  
  What is the least common denominator of 11/15 and 12/19?
• Determine 6
  
  
  Determine the least common denominator 3/4 and -5/6
• Treasury 73334
  
  
  Peter has only two crowns in the treasury and can divide them both in a ratio of 4:5 and in a ratio of 4:7. How many crowns does Peter have in the money box if the amount saved is less than 300 CZK?
• Meadow
  
  
  On the meadow grazing horses, cows, and sheep, together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are on the meadow togethe
• Ratio
  
  
  Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order.
• Compare three fractions
  
  
  Which of the three rational numbers is the largest? 1/7, 6/17, 4/17
• Reminder and quotient
  
  
  There are given numbers A = 135, B = 315. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the remainder 1.
• Six people
  
  
  Six people who get the same salary arrange them in increasing order of their savings and also mention who saves the most Anil 1/3. Duma 2/5. Niki 1/4.CAI 2/3. Kat 3/4. Boo 1/2.
• Compare fractions
  
  
  Find which is the larger of the two fractions: 11/32, 7/24 by expressing the numbers as: a) fractions with the same denominator; b) decimals.

more math problems »

What is the least common denominator of 3 4 and 2 3?

What is 3/4 as a common denominator?