LCM(a,b,c) = n(a + b + c)

 
 

Show that

… if   n \in N,   there do not exist   a, b \in N   such that   LCM(a,b) = n(a + b)

… if   n \in N,   there exist infinitely many triples integers   (a, b, c)   such that
                         LCM(a,b,c) = n(a + b + c)

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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