Q.6 Let ∗ be the binary operation on N given by a * b = L.C.M. \;of \;a\; and \;b. Find 

(ii) Is ∗ commutative?

Answers (1)

a * b = L.C.M. \;of \;a\; and \;b

(ii) L.C.M. \;of \;a\; and \;b = L.C.M. \;of \;b\; and \;a    for all a,b \in N

 \therefore \, \, \, \, \, \, \, a*b = b*a

Hence, it is commutative.

 

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