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Fungrim entry: 1cde02

lcm⁡ ⁣(a,lcm⁡ ⁣(b,c))=lcm⁡ ⁣(lcm⁡ ⁣(a,b),c)\operatorname{lcm}\!\left(a, \operatorname{lcm}\!\left(b, c\right)\right) = \operatorname{lcm}\!\left(\operatorname{lcm}\!\left(a, b\right), c\right)
Assumptions:a∈Z  and⁡  b∈Z  and⁡  c∈Za \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; c \in \mathbb{Z}
TeX:
\operatorname{lcm}\!\left(a, \operatorname{lcm}\!\left(b, c\right)\right) = \operatorname{lcm}\!\left(\operatorname{lcm}\!\left(a, b\right), c\right)

a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; c \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
LCMlcm⁡ ⁣(a,b)\operatorname{lcm}\!\left(a, b\right) Least common multiple
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("1cde02"),
    Formula(Equal(LCM(a, LCM(b, c)), LCM(LCM(a, b), c))),
    Variables(a, b, c),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ), Element(c, ZZ))))

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2021-03-15 19:12:00.328586 UTC