Difference between revisions of "Manuals/calci/LCM"
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*[http://en.wikipedia.org/wiki/Least_common_multiple LCM] | *[http://en.wikipedia.org/wiki/Least_common_multiple LCM] | ||
*[http://en.wikipedia.org/wiki/Greatest_common_divisor GCD (Greatest Common Divisor)] | *[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 ]] | ||
Revision as of 05:14, 13 March 2017
LCM(n1,n2,n3...)
- where n1,n2,n3... are numbers
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) = #ERROR
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See Also
References