Question

Find the LCM of n^3 t^2 and nt^4. A) n 4t^6 B) n 3t^6 C) n 3t^4 D) nt^2

Answer 1

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 $n^3t^2$ and $nt^4$.

The factored form of each term is

$n^3t^2=n\times n\times n\times t\times t$

$nt^4=n\times t\times t\times t\times t$

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

$LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t$

$LCM(n^3t^2,nt^4)=n^3t^4$

The LCM of given terms is $n^3t^4$. Therefore the correct option is C.

Answer 2

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 : $n^3 t^2 \text{ and } nt^4$

Factorization form of $n^3 t^2 \text{ and } nt^4$ will be :

$n^3 t^2 =n\times n\times n\times t\times t$

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

The least common multiple of $n^3 t^2 \text{ and } nt^4$ :

$n^3 t^2 =n\times n\times n\times t\times t\times t\times t=n^3t^4$

Hence, the LCM of   $n^3 t^2 \text{ and } nt^4=n^3t^4$

Thus , the correct answer is option C).