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Home » Is * defined on the set {1, 2, 3, 4, 5} by a * b = LCM of a and b a binary operation? Justify your answer.
Is * defined on the set {1, 2, 3, 4, 5} by a * b = LCM of a and b a binary operation? Justify your answer.
Binary Operations | CBSE | Class 12 | Exercise 3.1 | Maths | RD Sharma
Is * defined on the set {1, 2, 3, 4, 5} by a * b = LCM of a and b a binary operation? Justify your answer.
LCM 1 2 3 4 5
1 1 2 3 4 5
2 2 2 6 4 10
3 3 5 3 12 15
4 4 4 12 4 20
5 5 10 15 20 5

Since,, all the elements are not in the set {1, 2, 3, 4, 5}.

If we consider a = 2 and b = 3, a * b = LCM of a and b = 6 ∉ {1, 2, 3, 4, 5}.

Thus, * is not a binary operation on {1, 2, 3, 4, 5}.

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