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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
Question
Let * be the binary operation on N given by a * b = L.C.M. of a and b. Find:
Is * associative?
✓

Answer

a * (b * c) = a * (L.C.M. of b and c) = L.C.M. of (a and L.C.M. of b and c) = L.C.M. of a, b and c.
Similarly, (a * b) * c = L.C.M. of a, b and c
Thus, a * (b * c) = (a * b) * c
Therefore, the operation is associative.

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