Let * be the binary operation on N given by a * b = LCM of a and b. Fi

1.	Let * be the binary operation on N given by a * b = LCM of a and b. Find (i) 5 * 7 (ii) 20 * 16 (iii) Is * commutative? (iv) Is * associative? (v) Find the identity of * in N. (vi) Which element of N is invertible for operation * ?
Answer» (i) 5 * 7 = 35 (ii) 20 * 16 = 80 (iii) Prove * is commutative (iv) Prove * is associative (v) Identity of * in N = 1 (vi) Only the element 1 in N is invertible for the operation * because 1 * 1 = 1

Let * be the binary operation on N given by a * b = LCM of a and b. Find (i) 5 * 7 (ii) 20 * 16 (iii) Is * commutative? (iv) Is * associative? (v) Find the identity of * in N. (vi) Which element of N is invertible for operation * ?

Answer»

(i) 5 * 7 = 35

(ii) 20 * 16 = 80

(iii) Prove * is commutative

(iv) Prove * is associative

(v) Identity of * in N = 1

(vi) Only the element 1 in N is invertible for the operation * because 1 * 1 = 1

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Let * be the binary operation on N given by a * b = LCM of a and b. Find (i) 5 * 7 (ii) 20 * 16 (iii) Is * commutative? (iv) Is * associative? (v) Find the identity of * in N. (vi) Which element of N is invertible for operation * ?

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