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Is *defined on the set {1, 2, 3, 4, 5} ...

Is `*`defined on the set `{1, 2, 3, 4, 5} b y a * b = LdotCdotMdot`of a and b a binary operation? Justify your answer.

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We have ∗ defined on the set `{1, 2, 3, 4, 5}` by
`a∗b`= LCM of a and b
Now, `3∗4=12`
But 12 is not in set `{1, 2, 3, 4, 5}`.
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