Difference between revisions of "LCM Command"
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:Calculates the least common multiple of two numbers. | :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[ | + | ;LCM[ <List of Numbers> ] |
:Calculates the least common multiple of the elements in 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>}} | ||
| Line 11: | Line 11: | ||
:Calculates the least common multiple of two numbers. | :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[ | + | ;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>}} | ||
| Line 17: | Line 17: | ||
: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>}} | :{{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[ | + | ;LCM[ <List of Polynomials> ] |
:Calculates the least common multiple of the polynomials in the list. | :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>}} | ||
Revision as of 21:43, 22 August 2015
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.
CAS Syntax
- 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 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 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.
