Respuesta :

carlosego

Answer: [tex]56y^{4}[/tex]

Step-by-step explanation:

 To find the least common multiply of [tex]7y^{3}[/tex] and [tex]8y^{4}[/tex], 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:

[tex]56y^{4}[/tex]

sqdancefan

Answer:

56y^4

Step-by-step 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

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