Given numbers are 507,878,408,442,687

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

The LCM of 507,878,408,442,687 is 6931813512.

Find LCM of 507,878,408,442,687 with Prime Factorization

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

2 x 3 x 13 x 17 x 13 x 439 x 4 x 1 x 229 = 6931813512

Therefore, the lowest common multiple of 507,878,408,442,687 is 6931813512.

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.

507 x 878 x 408 x 442 x 687 = 55149508301472

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.

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

878 : 1, 2, 439, 878

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,878,408,442,687, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

878:2x 439

408:2x 2x 2x 3x 17

442:2x 13x 17

687:3x 229

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 3x 3x 13x 17 = 7956

Therefore, the value for common factors is 7956.

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 = 55149508301472/(1x7956)

LCM = 55149508301472/7956

LCM = 6931813512

Thus, we can understand that the LCM of 507,878,408,442,687 is 6931813512.

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

• LCM of 425, 930, 409, 269, 638
• LCM of 176, 625, 736, 270, 104
• LCM of 644, 151, 868, 199, 827
• LCM of 974, 848, 278, 856, 130
• LCM of 920, 275, 355, 297, 322

1. What is the LCM of 507, 878, 408, 442, 687?

Answer: LCM of 507, 878, 408, 442, 687 is 6931813512.

2. How to calculate the LCM of 507, 878, 408, 442, 687?

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 507, 878, 408, 442, 687.

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}.