Given numbers are 642,507,815,390,855

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

The LCM of 642,507,815,390,855 is 5040274590.

Find LCM of 642,507,815,390,855 with Prime Factorization

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

2 x 3 x 5 x 13 x 107 x 1 x 163 x 13 x 57 = 5040274590

Therefore, the lowest common multiple of 642,507,815,390,855 is 5040274590.

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.

642 x 507 x 815 x 390 x 855 = 88456819054500

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

507 : 1, 3, 13, 39, 169, 507

815 : 1, 5, 163, 815

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

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,507,815,390,855, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

507:3x 13x 13

815:5x 163

390:2x 3x 5x 13

855:3x 3x 5x 19

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

2x 3x 3x 3x 5x 5x 13 = 17550

Therefore, the value for common factors is 17550.

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 = 88456819054500/(1x17550)

LCM = 88456819054500/17550

LCM = 5040274590

Thus, we can understand that the LCM of 642,507,815,390,855 is 5040274590.

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

• LCM of 600, 236, 118, 576, 510
• LCM of 797, 357, 800, 551, 683
• LCM of 722, 709, 904, 817, 859
• LCM of 642, 458, 907, 384, 979
• LCM of 940, 830, 488, 878, 229

1. What is the LCM of 642, 507, 815, 390, 855?

Answer: LCM of 642, 507, 815, 390, 855 is 5040274590.

2. How to calculate the LCM of 642, 507, 815, 390, 855?

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 642, 507, 815, 390, 855.

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}.