Documentation/Calc Functions/MINDSTE.FÆLLES.MULTIPLUM
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MINDSTE.FÆLLES.MULTIPLUM
Kategori:
Matematisk
Resume:
MINDSTE.FÆLLES.MULTIPLUM giver det mindste fælles multiplum af et eller flere positive heltal.
Syntaks:
MINDSTE.FÆLLES.MULTIPLUM(Integer 1 [; Integer 2 [; … [; Integer 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.
- A reference to a single cell containing a positive integer.
- A simple reference to a cell range containing positive integers (for example, A1:B9).
- The name of a named range, comprising cells containing positive integers.
- The name of a database range, comprising cells containing positive integers.
- An inline array of positive integers (for example, {1, 2, 3, 4}).
Note that although MINDSTE.FÆLLES.MULTIPLUM 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 MINDSTE.FÆLLES.MULTIPLUM reports a #VÆRDI! error.
- Text and empty cells within a data range are ignored.
- If any value is negative, then MINDSTE.FÆLLES.MULTIPLUM reports an invalid argument error (Fejl: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 MINDSTE.FÆLLES.MULTIPLUM 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 {\lt span lang="en" dir="ltr" class="mw-content-ltr"\gt LCM\lt /span\gt }(i, j) \times \text{\lt span lang="en" dir="ltr" class="mw-content-ltr"\gt GCD\lt /span\gt }(i, j) }[/math]
- STØRSTE.FÆLLES.DIVISOR(i, j) is the greatest common divisor of i and j (see STØRSTE.FÆLLES.DIVISOR).
- The least common multiple (MINDSTE.FÆLLES.MULTIPLUM) is sometimes referred to as the lowest common multiple or the smallest common multiple.
- For more background information, visit Wikipedia’s Least common multiple page.
Eksempler:
| Formel | Beskrivelse | Returnerer |
|---|---|---|
| =MINDSTE.FÆLLES.MULTIPLUM(16; 32; 24; 40) | Here the function returns 480, because that is the lowest common multiple of 16, 24, 32, and 40. | 480 |
| =MINDSTE.FÆLLES.MULTIPLUM(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 =MINDSTE.FÆLLES.MULTIPLUM(B1; B2; B3) would give the same result. | 36 |
| =MINDSTE.FÆLLES.MULTIPLUM(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 |
| =MINDSTE.FÆLLES.MULTIPLUM({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:
MINDSTE.FÆLLES.MULTIPLUM_EXCEL2003
ODF standard:
Relaterede (eller lignende) Excel-funktioner:
LCM