Given numbers are 986,389,317,214,390

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

The LCM of 986,389,317,214,390 is 2536904784570.

Find LCM of 986,389,317,214,390 with Prime Factorization

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

2 x 493 x 389 x 317 x 107 x 195 = 2536904784570

Therefore, the lowest common multiple of 986,389,317,214,390 is 2536904784570.

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.

986 x 389 x 317 x 214 x 390 = 10147619138280

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

389 : 1, 389

317 : 1, 317

214 : 1, 2, 107, 214

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,389,317,214,390, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

389:389

317:317

214:2x 107

390:2x 3x 5x 13

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 = 10147619138280/(1x4)

LCM = 10147619138280/4

LCM = 2536904784570

Thus, we can understand that the LCM of 986,389,317,214,390 is 2536904784570.

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

• LCM of 928, 818, 253, 385, 353
• LCM of 115, 187, 635, 547, 644
• LCM of 849, 733, 574, 522, 601
• LCM of 986, 555, 524, 414, 905
• LCM of 711, 814, 299, 519, 121

1. What is the LCM of 986, 389, 317, 214, 390?

Answer: LCM of 986, 389, 317, 214, 390 is 2536904784570.

2. How to calculate the LCM of 986, 389, 317, 214, 390?

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 986, 389, 317, 214, 390.

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}.