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The Least Common Denominator (LCD) is the smallest number that all denominators divide into evenly. It is needed to add or subtract fractions and equals the Least Common Multiple (LCM) of the denominators.

Formel

LCM(a,b) = a × b / GCD(a,b)
LCM
a × b / GCD(a — a × b / GCD(a
GCD
GCD value — Variable used in the calculation

Trinn-for-trinn guide

  1. 1LCD = LCM of all denominators
  2. 2LCM(a,b) = a × b / GCD(a,b)
  3. 3Convert fractions: multiply top and bottom by LCD/denominator
  4. 4Then add/subtract numerators normally

Løste eksempler

Inndata
1/4 + 1/6
Resultat
LCD = 12; 3/12 + 2/12 = 5/12

Ofte stilte spørsmål

What is Lcd?

The Least Common Denominator (LCD) is the smallest number that all denominators divide into evenly. It is needed to add or subtract fractions and equals the Least Common Multiple (LCM) of the denominators

How accurate is the Lcd calculator?

The calculator uses the standard published formula for lcd. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Lcd calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Lcd calculator use?

The core formula is: LCD = LCM of all denominators. Each step in the calculation is shown so you can verify the result manually.

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