Given numbers are 319,421,864,568

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

The LCM of 319,421,864,568 is 8238437856.

Find LCM of 319,421,864,568 with Prime Factorization

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

2 x 2 x 2 x 319 x 421 x 108 x 71 = 8238437856

Therefore, the lowest common multiple of 319,421,864,568 is 8238437856.

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.

319 x 421 x 864 x 568 = 65907502848

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.

319 : 1, 11, 29, 319

421 : 1, 421

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,421,864,568, is 1.

Now, the common factors can be found like this.

319:11x 29

421:421

864:2x 2x 2x 2x 2x 3x 3x 3

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 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 = 65907502848/(1x8)

LCM = 65907502848/8

LCM = 8238437856

Thus, we can understand that the LCM of 319,421,864,568 is 8238437856.

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

• LCM of 882, 605, 943, 326
• LCM of 501, 567, 188, 706
• LCM of 821, 788, 421, 223
• LCM of 435, 129, 926, 304
• LCM of 417, 230, 860, 259

1. What is the LCM of 319, 421, 864, 568?

Answer: LCM of 319, 421, 864, 568 is 8238437856.

2. How to calculate the LCM of 319, 421, 864, 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 319, 421, 864, 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}.