Q8) Find the HCF and LCM for each set of numbers by using the prime factorization method. c) 270,330 Question Q8) Find the HCF and LCM for each set of numbers by using theprime factorization method.c) 270,330 in progress 0 Math Caroline 2 months 2021-08-13T05:01:10+00:00 2021-08-13T05:01:10+00:00 1 Answer 0 views 0

## Answers ( )

Answer:## LCM = 2970

## HCF = 30

Step-by-step explanation:## LCM

Prime Factorization of 270 is:

2 x 3 x 3 x 3 x 5 => 2^1 x 3^3 x 5^1

Prime Factorization of 330 is:

2 x 3 x 5 x 11 => 2^1 x 3^1 x 5^1 x 11^1

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 3, 3, 3, 5, 11

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 3 x 3 x 5 x 11 = 2970

In exponential form:

LCM = 2^1 x 3^3 x 5^1 x 11^1 = 2970

LCM = 2970

Therefore,

LCM(270, 330) = 2970

## HCF

Answer:

HCF = 30

for the values 270, 330

Solution by Factorization:

The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The factors of 330 are: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Then the greatest common factor is 30.

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