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 | + | :{{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, | + | :{{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.