Given numbers are 513,847,778,584,870

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

The LCM of 513,847,778,584,870 is 14313018285720.

Find LCM of 513,847,778,584,870 with Prime Factorization

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

2 x 3 x 171 x 847 x 389 x 292 x 145 = 14313018285720

Therefore, the lowest common multiple of 513,847,778,584,870 is 14313018285720.

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.

513 x 847 x 778 x 584 x 870 = 171756219428640

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

847 : 1, 7, 11, 77, 121, 847

778 : 1, 2, 389, 778

584 : 1, 2, 4, 8, 73, 146, 292, 584

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,847,778,584,870, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

847:7x 11x 11

778:2x 389

584:2x 2x 2x 73

870:2x 3x 5x 29

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 3 = 12

Therefore, the value for common factors is 12.

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 = 171756219428640/(1x12)

LCM = 171756219428640/12

LCM = 14313018285720

Thus, we can understand that the LCM of 513,847,778,584,870 is 14313018285720.

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

• LCM of 916, 782, 371, 908, 822
• LCM of 677, 150, 872, 853, 493
• LCM of 225, 681, 593, 323, 815
• LCM of 910, 113, 701, 989, 249
• LCM of 307, 219, 101, 306, 457

1. What is the LCM of 513, 847, 778, 584, 870?

Answer: LCM of 513, 847, 778, 584, 870 is 14313018285720.

2. How to calculate the LCM of 513, 847, 778, 584, 870?

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 513, 847, 778, 584, 870.

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}.