Let * be a binary operation on N defined by a * b = LCM(a, b). The identity element for * in N is:
Let * be a binary operation on N defined by a * b = LCM(a, b). The identity element for * in N is:
- A. 0
- B. 1
- C. Not defined
- D. Depends on a
Answer: B) 1
Explanation: An element e is the identity if a * e = e * a = a for all a. Since LCM(a, 1) = a for all natural numbers a, 1 is the identity element.
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