Given numbers are 386,412,230,204

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

The LCM of 386,412,230,204 is 466361340.

Find LCM of 386,412,230,204 with Prime Factorization

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

2 x 2 x 193 x 103 x 115 x 51 = 466361340

Therefore, the lowest common multiple of 386,412,230,204 is 466361340.

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.

386 x 412 x 230 x 204 = 7461781440

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.

386 : 1, 2, 193, 386

412 : 1, 2, 4, 103, 206, 412

230 : 1, 2, 5, 10, 23, 46, 115, 230

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 386,412,230,204, is 2.

Now, the common factors can be found like this.

386:2x 193

412:2x 2x 103

230:2x 5x 23

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 = 7461781440/(2x8)

LCM = 7461781440/16

LCM = 466361340

Thus, we can understand that the LCM of 386,412,230,204 is 466361340.

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

• LCM of 698, 102, 617, 369
• LCM of 946, 381, 269, 556
• LCM of 846, 779, 793, 420
• LCM of 246, 879, 211, 574
• LCM of 238, 353, 736, 385

1. What is the LCM of 386, 412, 230, 204?

Answer: LCM of 386, 412, 230, 204 is 466361340.

2. How to calculate the LCM of 386, 412, 230, 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 386, 412, 230, 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}.