Difference between revisions of "LCM Command"

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{{command|cas=true|algebra}}
 
{{command|cas=true|algebra}}
 
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>}}
 
:{{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>}}
 
:{{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>}}
 
:{{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>}}
 
:{{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 + - 8x - 12''.</div>}}
+
:{{example| 1=<div><code><nowiki>LCM[x^2 + 4 x + 4, x^2 - x - 6]</nowiki></code> yields <math>x^3 + x^2 - 8 x - 12</math>.</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, - 4x² - 3x + 18}]</nowiki></code> yields ''x⁴ - 2x³ - 11x² + 12x + 36''.</div>}}
+
:{{example| 1=<div><code><nowiki>LCM[{x^2 + 4 x + 4, x^2 - x - 6, x^3 - 4 x^2 - 3 x + 18}]</nowiki></code> yields <math>x^4 - 2 x^3 - 11 x^2 + 12 x + 36</math>.</div>}}

Revision as of 13:01, 17 September 2012


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 x^3 + x^2 - 8 x - 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, x^3 - 4 x^2 - 3 x + 18}] yields x^4 - 2 x^3 - 11 x^2 + 12 x + 36.
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