Question

Can someone help me answer this plz

Answer 1

56y^4

Explanation:

As with the LCM of numbers, the LCM is the product of the highest powers of the unique factors

7y^3 has factors 7, y^3

8y^4 has factors 2^3, y^4

The unique factors are 2, 7, y and their highest powers are 3, 1, 4. So the LCM is ...

2^3·7^1·y^4 = 56y^4

Answer 2

Answer:
`56y^(4)`

Explanation:

To find the least common multiply of
`7y^(3)` and
`8y^(4)`, you must descompose 7 and 8 into their prime factors, as you can see below:

7=7

8=2*2*2=2³

Choose the common and non common numbers with their greastest exponents:

7*2³=56

Now you must choose the common and non common variables with their greastest exponents:

y⁴

Therefore, you can conclude that the least common multiply is:

`56y^(4)`