## Find the HCF of 44 and 444 by the prime factorization method hence, find their LCM

Question

Find the HCF of 44 and 444 by the prime factorization method hence, find their LCM

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1 month 2021-08-13T13:03:10+00:00 1 Answer 0 views 0

### LCM = 4884

Step-by-step explanation:

### HCF

HCF = 4

for the values 44, 444

Solution by Factorization:

The factors of 44 are: 1, 2, 4, 11, 22, 44

The factors of 444 are: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

### LCM

LCM = 4884

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 44 is:

2 x 2 x 11 => 2^2 x 11^1

Prime Factorization of 444 is:

2 x 2 x 3 x 37 => 2^2 x 3^1 x 37^1

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, 2, 3, 11, 37

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 11 x 37 = 4884

In exponential form:

LCM = 2^2 x 3^1 x 11^1 x 37^1 = 4884

LCM = 4884

Therefore,