Product of two co-prime number is 483. Find their L.C.M. Options 196 121 49 483

To solve the problem, let's follow the outlined steps.

1. Break Down the Problem

We need to find the Least Common Multiple (L.C.M) of two co-prime numbers when their product is given as 483.

2. Relevant Concepts

The relationship between the product of two numbers and their L.C.M. can be expressed as: $\text{L.C.M}(a, b) = \frac{a \times b}{\text{G.C.D}(a, b)}$ Since the numbers are co-prime, their Greatest Common Divisor (G.C.D) is 1. Therefore, the formula simplifies to: $\text{L.C.M}(a, b) = a \times b$

3. Analysis and Detail

Given that $a \times b = 483$ and since they are co-prime, $\text{L.C.M}(a, b) = 483$

4. Verify and Summarize

We do not need to perform any additional calculations since the product of the numbers is directly equal to their L.C.M given they are co-prime.

Final Answer

The L.C.M of the two co-prime numbers is 483.