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)

Question

2 years ago

5

= A x B?)

1 answer:

Luden [163] · Answer 1 · 2023-05-13T18:10:08+03:00

The natural number , n is 30

<h3>How to determine the value</h3>

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 = $\frac{2100}{70}$

n = $30$

Thus, the natural number , n is 30

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