samanthaazenha samanthaazenha
  • 20-07-2022
  • Mathematics
contestada

let n be a natural number such that GCF(n, 70)= 10, and LCM(n, 70)=210. Find N. (Hint: Do you remember that LCM(A,B) x GCF(A, B)= A x B?)

Respuesta :

barackodam barackodam
  • 20-07-2022

The natural number , n is 30

How to determine the value

Given;

GCF(n, 70) = 10

LCM(n, 70) = 210

We have that;

LCM(A,B) x GCF(A, B)= A x B

Then,

(n, 70) = n × 70 = 70n

10 × 210 = 2100

Equate the two expressions

70n = 2100

n = [tex]\frac{2100}{70}[/tex]

n = [tex]30[/tex]

Thus, the natural number , n is 30

Learn more about GCF and LCM here:

https://brainly.com/question/640517

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