Question

find the LCM of the following numbers by prime factorization method 180,192,576 with solution plz explain​

Answer 1

Answer:

2880

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 180 is:

2 x 2 x 3 x 3 x 5 => 22 x 32 x 51

Prime Factorization of 192 is:

2 x 2 x 2 x 2 x 2 x 2 x 3 => 26 x 31

Prime Factorization of 576 is:

2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 => 26 x 32

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, 2, 2, 2, 2, 3, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 2880

In exponential form:

LCM = 26 x 32 x 51 = 2880

LCM = 2880

Therefore,

LCM(180, 192, 576) = 2880

PLEASE MARK AS BRAINLIEST

Answer 2

Answer:

the lcm of 180,192,576 is 2880

Step-by-step explanation:

2/180,192,576

2/90,96,288

2/45,48,144

2/45,24,72

2/45,12,36

3/45,3,9

3/15,1,3

3/5,1,1

the multiplication of 2x2x2x2x2x3x3x3x = 2880