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Define * on N by m*n=1cm (m,n) Show that * is a binary operaitn which is commutative as well as associative

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Solution :We know that the 1CM of two NATURAL numbers is anatureal number So N is closed for *
We know that 1cm (m,n) =1cm (n,m) OS *n=n*m ltbgt 1cm (m,n,p) =1cm {1cm (m,n),p)={m,(n,p)}


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