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n of the form...

Source: Moldova TST 2017, B4

March 6, 2017

number theory

Problem Statement

Determine all natural numbers

n

of the form

n=[a,b]+[b,c]+[c,a]

where

a,b,c

are positive integers and

[u,v]

is the least common multiple of the integers

u

and

v

.

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