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# Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find  Is ∗ commutative?

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

(ii) Is ∗ commutative?

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

(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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