Documentation/Calc Functions/MINDSTE.FÆLLES.MULTIPLUM

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


MINDSTE.FÆLLES.MULTIPLUM(Integer 1 [; Integer 2 [; … [; Integer 255]]])


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


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 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 #VALUE! 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 (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 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 {LCM}(i, j) \times \text{GCD}(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.


Template:Calc-Formula/da Template:Calc-Description/da Template:Calc-Returns/da
=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

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