Given numbers are 230,386,914,568

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

The LCM of 230,386,914,568 is 5761289320.

Find LCM of 230,386,914,568 with Prime Factorization

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

2 x 115 x 193 x 457 x 284 = 5761289320

Therefore, the lowest common multiple of 230,386,914,568 is 5761289320.

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.

230 x 386 x 914 x 568 = 46090314560

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.

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

386 : 1, 2, 193, 386

914 : 1, 2, 457, 914

568 : 1, 2, 4, 8, 71, 142, 284, 568

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,386,914,568, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

386:2x 193

914:2x 457

568:2x 2x 2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 46090314560/(2x4)

LCM = 46090314560/8

LCM = 5761289320

Thus, we can understand that the LCM of 230,386,914,568 is 5761289320.

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

• LCM of 662, 114, 566, 638
• LCM of 899, 675, 888, 240
• LCM of 357, 295, 418, 976
• LCM of 213, 339, 963, 271
• LCM of 867, 255, 712, 706

1. What is the LCM of 230, 386, 914, 568?

Answer: LCM of 230, 386, 914, 568 is 5761289320.

2. How to calculate the LCM of 230, 386, 914, 568?

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 230, 386, 914, 568.

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}.