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Question: Let * be a binary operation on N given by a*b = LCM (a,b) for all \(a,b \in N\). Find \(5*7\)....

Let * be a binary operation on N given by a*b = LCM (a,b) for all a,b∈Na,b \in N. Find 5∗75*7.

Explanation

Solution

To solve this question we have to understand that * is a binary operation means it will tell about what operation has to be done as like here we have to find LCM. Here 5*7 is given means we have to find LCM of 5 and 7.

Complete step-by-step answer:
Here we have to find 57
Here * is a binary operation where it is given that ab = LCM of a and b so
We have to find LCM of 5 and 7.
Hence LCM of 5 and 7 is
⇒5×7=35\Rightarrow 5 \times 7 = 35
Hence 5*7 is equal to 35.

Note: Whenever we get this type of question the key concept of solving is we have to understand the question that we have to replace * with what mathematical operation. And then do that mathematical operation to get an answer.