Question

lcm 384 576 288 step by step​

Answer 1

Answer:

List all prime factors for each number.

Prime Factorization of 288 is:

2 x 2 x 2 x 2 x 2 x 3 x 3 => 25 x 32

Prime Factorization of 384 is:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 => 27 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, 2, 3, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 1152

In exponential form:

LCM = 27 x 32 = 1152

LCM = 1152

Therefore,

LCM(288, 384, 576) = 1152

Answer 2

Answer:

1152

Step-by-step explanation:

If you know 16 table ,you can start with 16 other wise you can start with 4 tables.

= 4 - 384,576,288

= 4 - 96,144,72

= 2 - 24,36,18

= 3 - 12,18,9

= 2 - 4,9,3

= 2 - 2,3,3

= 3 - 1,3,3

= - 1,1,1

multiply all the numbers

=4*4*2*3*2*2*3

= 16*6*4*3

= 17*24*3

= 1152