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Least Common Denominator Calculator
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Least common denominator or LCD has 2 or more denominators are basically the least whole number which is divisible by both of the denominators. Least Common Denominator Calculator (LCD Calculator or lcd finder) takes two fractions in the simplest form and calculates the least common denominator for them.You just have to enter the given two fractions in the block provided and get the least common denominator instantly.

 

Steps for Finding LCD

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Step 1 :  

Note down the denominator of each fraction.



Step 2 :  

For those denominators find out the lcm or least common multiple. This would be the least common denominator.



Example Problems on LCD

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  1. Find the least common denominator for the given numbers $\frac{1}{8}$ + $\frac{1}{16}$


    Step 1 :  

    The given denominators are 8 and 16



    Step 2 :  

    The multiples of 8: 8, 16, 24, 32, 40 and so on...


    The multiples of 16: 16, 32, 48 and so on...


    Therefore you may notice for both of the denominators the least common number is 16.



    Answer  :  

    Hence, the least common denominator of $\frac{1}{8}$ and $\frac{1}{16}$ are 16.



  2. Find the least common denominator for the given numbers $\frac{1}{4}$ + $\frac{1}{9}$


    Step 1 :  

    The given denominators are 4 and 9



    Step 2 :  

    The multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 38 and so on...
    The multiples of 9: 9, 18, 27, 36, 45 and so on...

    Therefore you may notice for both of the denominators the least common number is 36.



    Answer  :  

    Hence, the least common denominator of $\frac{1}{4}$ and $\frac{1}{9}$ is 36.



  3. A software company equally distributed gifts among 450 employees on the occasion of Christmas. But on that particular day, 150 employees were on leave. Thus, each employee got 3 gifts extra. How many gifts did each employee get.


    Step 1 :  

    Number of employees got gifts = 450 – 150 = 300


      Number of gifts for 150 employees = 300 * 3 = 900



    Step 2 :  

    Gifts got by each employee = $\frac{900}{150} $ + 3


    The least common denominator of $\frac{900}{150} $ and 3 is 150


    $\frac{900 + 450 }{150}$ = 9



    Answer  :  

    Each employee got 9 gifts.



  4. A college student, Sue, participated in a marathon competition. On first half he ran 1/3 of a mile and in second half he ran 3/4 of a mile. How far did he run in all?


    Step 1 :  

     Total distance covered by Sue = ($\frac{1}{3}$ + $\frac{3}{4}$) of a mile


    Least common factor of 3 and 4 is 12



    Step 2 :  

    $\frac{1}{3}$ $\times$ $\frac{4}{4}$ + $\frac{3}{4}$ $\times$ $\frac{3}{3}$


    = $\frac{4}{12}$ + $\frac{9}{12}$


    = $\frac{4  + 9 }{12}$


    = $\frac{13}{12}$


    Sue ran $\frac{13}{12}$ of a mile.



    Answer  :  

    $\frac{13}{12}$ of a mile.



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