Let S 5 {1, 2, 3, 5, 6, 10, 15, 30}, and define an operation M

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Let S 5 {1, 2, 3, 5, 6, 10, 15, 30}, and define an operation M meaning least common multiple. For example, 5 M 10 = 10, 5 M 6 30, 10 M 30 = 30.

a. Is S closed for the operation of M? b. Is S associative for M? c. Is S commutative for M?

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