Documentation/Calc Functions/MINDSTE.FÆLLES.MULTIPLUM

From The Document Foundation Wiki
Jump to navigation Jump to search
This page is a translated version of the page Documentation/Calc Functions/LCM and the translation is 14% complete.
Outdated translations are marked like this.
Other languages:
English • ‎Nederlands • ‎dansk • ‎español

Template:Documentation/Calc Functions/Func Page Links/da

Funktionsnavn:

MINDSTE.FÆLLES.MULTIPLUM

Kategori:

Matematisk

Resume:

MINDSTE.FÆLLES.MULTIPLUM giver det mindste fælles multiplum af et eller flere positive heltal.

Syntaks:

MINDSTE.FÆLLES.MULTIPLUM giver det mindste fælles multiplum af et eller flere positive heltal.(heltal 1 [; heltal 2 [; … [; heltal 255]]])

Returnerer:

Returnerer et heltal, som er det mindste fælles multiplum af et eller flere positive heltal, der er opgivet som inddata.

Argumenter:

Tal 1, tal 2, … , tal 255 er tal, referencer til celler eller til celleområder med tal.

  • Hvis noget argument er negativt, returnerer funktionen en fejlværdi.
  • Hvis noget argument ikke er et heltal, returnerer funktionen en heltals mindste fælles divisor. For eksempel vil MINDSTE.FÆLLES.MULTIPLUM (2,5;5) returnere 10, mens MINDSTE.FÆLLES.MULTIPLUM (8;2,2) returnerer 8.

Note that although LCM can accept up to 255 arguments, each argument could specify a range of cells. This means that the number of positive integers processed could be many more than 255.

The following conditions (including errors) may be encountered:

  • If any argument is a string in quotation marks, or a reference to a single cell that contains a string rather than a positive integer, then LCM reports a #VALUE! error.
  • Text and empty cells within a data range are ignored.
  • If any value is negative, then LCM reports an invalid argument error (Err:502).
  • If any value is not an integer, that value is truncated to its floor value.
  • If after any truncation all supplied values are equal to 0, then LCM returns the value 0.

Yderligere oplysninger:

Hvis der er givet to positIve heltal, er a*b=MINDSTE.FÆLLES.MULTIPLUM(a;b)*STØRSTE.FÆLLES.DIVISOR(a;b)

  • For two positive integers i and j, the following relationship holds:

[math]\displaystyle{ i\times j~=~\text {LCM}(i, j) \times \text{GCD}(i, j) }[/math]

GCD(i, j) is the greatest common divisor of i and j (see GCD).
  • The least common multiple (LCM) is sometimes referred to as the lowest common multiple or the smallest common multiple.

Eksempler:

Template:Calc-Formula/da Template:Calc-Description/da Template:Calc-Returns/da
=LCM(16; 32; 24; 40) Here the function returns 480, because that is the lowest common multiple of 16, 24, 32, and 40. 480
=LCM(B1:B3) where cells B1, B2, and B3 contain the numbers 9, 12, and 6 respectively. Here the function returns 36, because that is the lowest common multiple of 6, 9, and 12. The formula =LCM(B1; B2; B3) would give the same result. 36
=LCM(3.2; 5.6) The two argument values are truncated to 3 and 5 respectively. Here the function returns 15, because that is the lowest common multiple of 3 and 5. 15
=LCM({2; 4; 6; 8}) Here the function returns 24, because that is the lowest common multiple of 2, 4, 6, and 8. 24

Beslægtede LibreOffice-funktioner:

GCD

LCM_EXCEL2003

ODF standard:

Tilsvarende Excel-funktioner:

MINDSTE.FÆLLES.MULTIPLUM