I can't prove ...if a,b,c are positive integer, then 1.) [(a,b),c]=([a,c],[b,c]) 2.) ([a,b],c)=[(a,c),(b,c)] .....*-*!!
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Originally Posted by konna I can't prove ...if a,b,c are positive integer, then 1.) [(a,b),c]=([a,c],[b,c]) 2.) ([a,b],c)=[(a,c),(b,c)] .....*-*!! I'm afraid you are going to have to define [x,y] and (x,y).
Originally Posted by konna I can't prove ...if a,b,c are positive integer, then 1.) [(a,b),c]=([a,c],[b,c]) 2.) ([a,b],c)=[(a,c),(b,c)] .....*-*!! Oh!1 sorry sorry! [(a,b),c]=([a,c],[b,c])=>lcm[gcd(a,b),c]=gcd(lcm[a,c],lcm[b,c]) ([a,b],c)=[(a,c),(b,c)]=>gcd(lcm[a,b],c)=lcm[gcd(a,c),gcd(b,c)]
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