# Least common denominator calculator

### 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 z_{1}= (20)/(9); z_{2}= (10)/(21); z_{3}= (15)/(14) by its size. Result write 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, on the third article from the end and then on every other third article, she put on a sock on her left foot. - Two gears

A large gear will be used 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

Petr 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 Petr 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 equally. How many horses, cows, and sheep are on the meadow toget - 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 1 so that the proportions R:A, R:B are with the remainder 1. - Six people

Six people who get the same amount of 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 express-ing the numbers as: a) fractions with the same denominator; b) decimals.

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