Least common denominator calculator

What is LCD?

The everyman common denominator or to the lowest degree common denominator (abbreviated LCD) is the to the lowest degree mutual multiple of the denominators of a set of fractions. LCD is the smallest positive integer that is multiple denominators in the ready. Fractions write with fraction bar / like iii/4 .

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

How to calculate LCD

The aforementioned fraction we tin express in many different forms. If the ratio between numerator and denominator is the same, the fractions stand for the aforementioned 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 mutual multiple of fractions denominators.
The simple method for mutual computing denominators (not least at all) is to multiply all denominators.

Questions and word problems to LCD

  • LCD ii
    The least common denominator of 2/5, 1/ii, and 3/4
  • Fractions
    Sort fractions z1 = (twenty)/(nine); z2 = (10)/(21); z3 = (15)/(fourteen) by their size. The result writes every bit iii serial numbers 1,2,iii.
  • Centipede 4257
    Centipede Mirka consists of a head and several manufactures. Each pair has 1 pair of legs. When it got cold, she decided to get dressed. Therefore, she put on a sock on her left pes in the third article from the end and then on every other third article. Southward
  • 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. Observe the smallest number of teeth each gear could take. [Hint: Apply either GCF or LCM. ]
  • LCD two fractions
    What is the least common denominator of eleven/fifteen and 12/nineteen?
  • Determine 6
    Decide the to the lowest degree common denominator iii/iv and -5/six
  • Treasury 73334
    Peter has only ii crowns in the treasury and tin divide them both in a ratio of 4:5 and in a ratio of 4:seven. How many crowns does Peter have in the coin box if the corporeality 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 than there are at present, their numbers would equal. How many horses, cows, and sheep are on the meadow togethe
  • Ratio
    Alena collected vii.viii 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 3 fractions
    Which of the iii rational numbers is the largest? i/7, 6/17, iv/17
  • Reminder and caliber
    At that place 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 balance 1.
  • Six people
    Half-dozen people who become the same salary arrange them in increasing order of their savings and too mention who saves the nigh Anil i/3. Duma two/5. Niki 1/4.CAI 2/3. Kat iii/iv. Boo 1/2.
  • Compare fractions
    Find which is the larger of the two fractions: 11/32, 7/24 past expressing the numbers as: a) fractions with the same denominator; b) decimals.

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