Given numbers are 870,408,566,494,729

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

The LCM of 870,408,566,494,729 is 1004888387880.

Find LCM of 870,408,566,494,729 with Prime Factorization

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

2 x 3 x 145 x 68 x 283 x 247 x 243 = 1004888387880

Therefore, the lowest common multiple of 870,408,566,494,729 is 1004888387880.

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.

870 x 408 x 566 x 494 x 729 = 72351963927360

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

566 : 1, 2, 283, 566

494 : 1, 2, 13, 19, 26, 38, 247, 494

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,408,566,494,729, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

408:2x 2x 2x 3x 17

566:2x 283

494:2x 13x 19

729:3x 3x 3x 3x 3x 3

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 72351963927360/(1x72)

LCM = 72351963927360/72

LCM = 1004888387880

Thus, we can understand that the LCM of 870,408,566,494,729 is 1004888387880.

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

• LCM of 816, 753, 818, 440, 850
• LCM of 680, 590, 360, 148, 662
• LCM of 287, 188, 300, 547, 469
• LCM of 572, 100, 628, 124, 455
• LCM of 156, 979, 114, 165, 786

1. What is the LCM of 870, 408, 566, 494, 729?

Answer: LCM of 870, 408, 566, 494, 729 is 1004888387880.

2. How to calculate the LCM of 870, 408, 566, 494, 729?

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 870, 408, 566, 494, 729.

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}.