Question

Find the ratio of LCM to GCF of 9,18 and 52

#anyone to help me please

Answer 1

LCM = 468

Becouse:

The prime factorisation of 9 is:

3 * 3 = 3 ^ 2

The prime factorisation of 18 is:

2 * 9 = 2 * 3 ^ 2

The prime factorisation of 52 is:

4 * 13 = 2 ^ 2 * 13


2 : two occurrences
3 : two occurrences
13 : one occurrence

LCM = 2 * 2 * 3 * 3 * 13 = 468


GCF = 1

Becouse:

The divisors of 9 :

1, 3, 9

The divisors of 18 :

1, 2, 3, 6, 9, 18

The divisors of 52:

1, 2, 4, 13, 26, 52


The "Greatest Common Factor of this three numbers are a number which divides each of the given numbers exactly.

Then the greatest common factor is 1


LCM / GCF = 468 / 1 = 468