Question

The lcm of 165xy and 77x 3 y is _____. 1,155x 3y 11xy 12,705x 4y 2 105x 3y

Answer 1

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

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

Answer 2

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)