Difference between revisions of "LCM Command"

Latest revision as of 12:54, 5 October 2017

UK English: LCM = lowest common multiple

LCM( <Number>, <Number> ): Calculates the least common multiple of two numbers.; Example:
LCM(12, 15) yields 60.

LCM( <List of Numbers> ): Calculates the least common multiple of the elements in the list.; Example:
LCM({12, 30, 18}) yields 180.

Hint: In the

CAS View you can also use the following syntax:

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 polynomials in the list.; 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.

Note: See also GCD Command.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
-{{command|cas=true|algebra}}
 UK English: LCM = lowest common multiple
-;LCM[ <Number a>, <Number b>]
+;LCM( <Number>, <Number> )
-:Calculates the least common multiple of two numbers ''a'' and ''b''.
+:Calculates the least common multiple of two numbers.
-:{{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( &lt;List of Numbers> )
-:Calculates the least common multiple of the elements of the list.
+:Calculates the least common multiple of the elements in 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==
-;LCM[ <Number a>, <Number b> ]
+{{hint|In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can also use the following syntax:}}
-:Calculates the least common multiple of numbers ''a'' and ''b''.
+;LCM( <Polynomial>, <Polynomial> )
-:{{example| 1=<div><code><nowiki>LCM[12, 15]</nowiki></code> yields ''60''.</div>}}
-;LCM[ <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> ]
 :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 <math>x^3 + x^2 - 8 x - 12</math>.</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 polynomials in the list.
-:{{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>}}
+:{{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>}}
+{{note|See also [[GCD Command]].}}

Difference between revisions of "LCM Command"

Latest revision as of 12:54, 5 October 2017

LCM

Command Categories (All commands)