Difference between revisions of "LCM Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{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>]
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;LCM( <Number>, <Number> )
:Calculates the least common multiple of two numbers ''a'' and ''b''.
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:Calculates the least common multiple of two numbers.
:{{example| 1=<div><code><nowiki>LCM[12, 15]</nowiki></code> yields ''60''.</div>}}
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:{{example| 1=<div><code><nowiki>LCM(12, 15)</nowiki></code> yields ''60''.</div>}}
;LCM[ <List of numbers>]
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;LCM( &lt;List of Numbers> )
:Calculates the least common multiple of the elements of the list.
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: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>}}
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:{{example| 1=<div><code><nowiki>LCM({12, 30, 18})</nowiki></code> yields ''180''.</div>}}
==CAS Syntax==
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;LCM[ <Number a>, <Number b> ]
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{{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''.
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;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.
 
: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>}}
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:{{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> ]
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;LCM( <List of Polynomials> )
:Calculates the least common multiple of the list of polynomials.
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: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>}}
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:{{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>}}
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{{note|See also [[GCD Command]].}}

Latest revision as of 11:54, 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.


Note Hint: In the Menu view cas.svg 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.
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