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Home  >>  CBSE XII  >>  Math  >>  Relations and Functions

let * be a binaray operation on N given by a*b = 1cm (a,b) ,a,b belong to N find 2*4 and is N,* associative?

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1 Answer

(a*b)*c= LCM(a,b)*c and a*(b*c) = a*LCM(b,c)= LCM (a,b,c)

Therefore (a*b)*c = a*(b*c) for all a,b,c belongs to N
answered Oct 24, 2013 by vijayalakshmi_ramakrishnans
 

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