Question

Let ∗ be the binary operation on N given by a∗b= LCM of a and b. (iv) Find the identity of ∗ in N.

Answer 1

Answer:

It is given that the binary operation on N given by a ∗ b = L.C.M. of a and b.

We know that LCM of a and 1 = a = LCM of 1 and 1, a ϵ N

⇒ a * 1 = a = 1 * a, a ϵ N

Therefore, 1 is the identity of * in N.

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