Given numbers are 388,458,514,204

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 388,458,514,204 is 1164583164.

Find LCM of 388,458,514,204 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 97 x 229 x 257 x 51 = 1164583164

Therefore, the lowest common multiple of 388,458,514,204 is 1164583164.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

388 x 458 x 514 x 204 = 18633330624

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

388 : 1, 2, 4, 97, 194, 388

458 : 1, 2, 229, 458

514 : 1, 2, 257, 514

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,458,514,204, is 2.

Now, the common factors can be found like this.

388:2x 2x 97

458:2x 229

514:2x 257

204:2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18633330624/(2x8)

LCM = 18633330624/16

LCM = 1164583164

Thus, we can understand that the LCM of 388,458,514,204 is 1164583164.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 610, 397, 775, 303
• LCM of 976, 756, 685, 167
• LCM of 179, 471, 209, 336
• LCM of 212, 427, 474, 653
• LCM of 494, 443, 359, 348

1. What is the LCM of 388, 458, 514, 204?

Answer: LCM of 388, 458, 514, 204 is 1164583164.

2. How to calculate the LCM of 388, 458, 514, 204?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 388, 458, 514, 204.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.