Difference between revisions of "Manuals/calci/LCM"
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| − | '''LCM'''( | + | <div style="font-size:30px">'''LCM()'''</div><br/> |
| + | *Parameters are any set of numbers. | ||
| + | *LCM() returns the least common multiple. | ||
| − | + | ==Description== | |
| + | *LCM is the '''least common multiple''' (also known as '''lowest common multiple''' or '''smallest common multiple''' or '''least common denominator (LCD)''' of a set of integers a,b,c,...,n. | ||
| + | * LCM is the smallest integer that is divisible by each of them. | ||
| + | * The argument can be one or many integers. | ||
| − | + | What is the LCM of 2 and 5? | |
| − | + | Multiples of 2 are: | |
| − | + | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ... | |
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| − | |||
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| − | + | and the multiples of 5 are: | |
| + | 5, 10, 15, 20, 25, 30, ... | ||
| − | + | Common multiples of 2 and 5 are simply the numbers that are in both lists: | |
| + | 10, 30, .... | ||
| − | + | So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10. | |
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| − | LCM | + | ==Examples== |
| + | *=LCM(10,20) =20 | ||
| + | *=LCM(1,2,3,4,5) = 60 | ||
| + | *=LCM(12,19,23,17)= 89148 | ||
| + | *=LCM(1.2,1.3,1.4,1.5,3.4,5.3)= 15 | ||
| + | *=LCM(-2,-4,8,12) = #N/A (LCM NOT DEFINED FOR -VE NUMBERS) | ||
| − | + | == Related Videos == | |
| − | + | {{#ev:youtube|znmPfDfsir8|280|center|LCM}} | |
| − | |||
| − | + | =See Also= | |
| + | *[[Manuals/calci/GCD | GCD]] | ||
| − | + | =References= | |
| − | LCM | + | *[http://en.wikipedia.org/wiki/Least_common_multiple LCM] |
| + | *[http://en.wikipedia.org/wiki/Greatest_common_divisor GCD (Greatest Common Divisor)] | ||
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| − | + | *[[Z_API_Functions | List of Main Z Functions]] | |
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| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 04:43, 8 June 2020
LCM()
- Parameters are any set of numbers.
- LCM() returns the least common multiple.
Description
- LCM is the least common multiple (also known as lowest common multiple or smallest common multiple or least common denominator (LCD) of a set of integers a,b,c,...,n.
- LCM is the smallest integer that is divisible by each of them.
- The argument can be one or many integers.
What is the LCM of 2 and 5?
Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ...
and the multiples of 5 are: 5, 10, 15, 20, 25, 30, ...
Common multiples of 2 and 5 are simply the numbers that are in both lists: 10, 30, ....
So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10.
Examples
- =LCM(10,20) =20
- =LCM(1,2,3,4,5) = 60
- =LCM(12,19,23,17)= 89148
- =LCM(1.2,1.3,1.4,1.5,3.4,5.3)= 15
- =LCM(-2,-4,8,12) = #N/A (LCM NOT DEFINED FOR -VE NUMBERS)
Related Videos
See Also
References