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Is * defined on the set {1,2,3,4,5} by a * b = L.C.M. of a and b as a binary operation. Justify your answer.

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Is * defined on the set {1,2,3,4,5} by a * b = L.C.M. of a and b as a binary operation. Justify your answer.

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The given set = {1, 2, 3, 4, 5}.
Binary operation * is defined as a * b = L.C.M. of a and b.
4 * 5 = 20 which does not belong to the given set {1, 2, 3, 4, 5}. So, it is not a binary operation.

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