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The least common multiple (LCM) can be determined by factoring out the terms first,
                             165xy = (3)(11)(5)(x)(y)
                              77x³y = (7)(11)(x)(x)(x)(y)
Copy the factors writing off the repeated factors only once,
                        LCM = (3)(11)(5)(x)(y)(7)(x)(x)= 1155x³y
The answer is 1155x³y (first choice)

Answer:

\(1,155x^3y\)

Step-by-step explanation:

Find LCM of \(165xy \ and \ 77x^3y\)

We write the expression in factors

\(165xy= 3 \cdot 11 \cdot 5 \cdot x \cdot y\)

\(77x^3y= 11 \cdot 7 \cdot x \cdot x \cdot x \cdot y\)

To find LCM, w multiply  all the common factors first 11xy

Now we multiply all the remaining terms

\(LCM = 11xy \cdot 3 \cdot 5 \cdot x \cdot x \cdot 7= 1155x^3y\)

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