Respuesta :

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are [tex]n^3t^2[/tex] and [tex]nt^4[/tex].

The factored form of each term is

[tex]n^3t^2=n\times n\times n\times t\times t[/tex]

[tex]nt^4=n\times t\times t\times t\times t[/tex]

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

[tex]LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t[/tex]

[tex]LCM(n^3t^2,nt^4)=n^3t^4[/tex]

The LCM of given terms is [tex]n^3t^4[/tex]. Therefore the correct option is C.

JeanaShupp

Answer: C) n 3t^4

Step-by-step explanation:

Definition : The least common multiple (LCM) of any two expressions is the smallest expression that is divisible by both expressions.

Given expressions : [tex]n^3 t^2 \text{ and } nt^4[/tex]

Factorization form of [tex]n^3 t^2 \text{ and } nt^4[/tex] will be :

[tex]n^3 t^2 =n\times n\times n\times t\times t[/tex]

tex]nt^4 =n \times t\times t\times t\times t[/tex]

The least common multiple of [tex]n^3 t^2 \text{ and } nt^4[/tex] :

[tex]n^3 t^2 =n\times n\times n\times t\times t\times t\times t=n^3t^4[/tex]

Hence, the LCM of   [tex]n^3 t^2 \text{ and } nt^4=n^3t^4[/tex]

Thus , the correct answer is option C).