Difference between revisions of "LCM Command"
From GeoGebra Manual
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UK English: LCM = lowest common multiple | UK English: LCM = lowest common multiple | ||
; LCM[Number a, Number b]: Calculates the least common multiple of two numbers ''a'' and ''b''. | ; LCM[Number a, Number b]: Calculates the least common multiple of two numbers ''a'' and ''b''. | ||
| + | :{{example| 1=<div><code><nowiki>LCM[12, 15]</nowiki></code> yields ''60''.</div>}} | ||
; LCM[List of numbers]: Calculates the least common multiple of the elements of the list. | ; LCM[List of numbers]: Calculates the least common multiple of the elements of the list. | ||
| + | :{{example| 1=<div><code><nowiki>LCM[{12, 30, 18}]</nowiki></code> yields ''180''.</div>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
; LCM[Number a, Number b] | ; LCM[Number a, Number b] | ||
: Calculates the least common multiple of numbers ''a'' and ''b''. | : Calculates the least common multiple of numbers ''a'' and ''b''. | ||
| + | :{{example| 1=<div><code><nowiki>LCM[12, 15]</nowiki></code> yields ''60''.</div>}} | ||
;LCM[List of Numbers] | ;LCM[List of Numbers] | ||
: Calculates the least common multiple of the list of numbers. | : Calculates the least common multiple of the list of numbers. | ||
| + | :{{example| 1=<div><code><nowiki>LCM[{12, 30, 18}]</nowiki></code> yields ''180''.</div>}} | ||
;LCM[Polynomial, Polynomial] | ;LCM[Polynomial, Polynomial] | ||
: Calculates the least common multiple of the two polynomials. | : Calculates the least common multiple of the two polynomials. | ||
| + | :{{example| 1=<div><code><nowiki>LCM[x^2 + 4 x + 4, x^2 - x - 6]</nowiki></code> yields ''x³ + x² - 8x - 12''.</div>}} | ||
;LCM[List of Polynomials] | ;LCM[List of Polynomials] | ||
: Calculates the least common multiple of the list of polynomials. | : Calculates the least common multiple of the list of polynomials. | ||
| + | :{{example| 1=<div><code><nowiki>LCM[{x^2 + 4 x + 4, x^2 - x - 6, x³ - 4x² - 3x + 18}]</nowiki></code> yields ''x⁴ - 2x³ - 11x² + 12x + 36''.</div>}} | ||
Revision as of 16:12, 26 October 2011
UK English: LCM = lowest common multiple
- LCM[Number a, Number b]
- Calculates the least common multiple of two numbers a and b.
- Example:
LCM[12, 15]yields 60.
- LCM[List of numbers]
- Calculates the least common multiple of the elements of the list.
- Example:
LCM[{12, 30, 18}]yields 180.
CAS Syntax
- LCM[Number a, Number b]
- Calculates the least common multiple of numbers a and b.
- Example:
LCM[12, 15]yields 60.
- LCM[List of Numbers]
- Calculates the least common multiple of the list of numbers.
- Example:
LCM[{12, 30, 18}]yields 180.
- LCM[Polynomial, Polynomial]
- Calculates the least common multiple of the two polynomials.
- Example:
LCM[x^2 + 4 x + 4, x^2 - x - 6]yields x³ + x² - 8x - 12.
- LCM[List of Polynomials]
- Calculates the least common multiple of the list of polynomials.
- Example:
LCM[{x^2 + 4 x + 4, x^2 - x - 6, x³ - 4x² - 3x + 18}]yields x⁴ - 2x³ - 11x² + 12x + 36.
