Question

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

Answer 1

`1,155x^3y`

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)