Let ‘*’ be a binary operation on N defined by a*b = L.C.M(a,b) for all a,b∈N.
Find 2*4, 3*5, 1*6.
Given that * is an operation that is valid on all natural numbers ‘N’ and is defined by a*b = L.C.M(a,b)
According to the problem, binary operation given is assumed to be true.
Let us find the values of 2*4,3*5,1*6
⇒ 2*4 = L.C.M(2,4) = 4
⇒ 3*5 = L.C.m(3,5)
⇒ 3*5 = 3×5 = 15
⇒ 1*6 = L.C.M(1,6)
⇒ 1*6 = 1×6 = 6
The values of 2*4 is 4 , 3*5 is 15 and 1*6 is 6