Given numbers are 130,542,714,778,284

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

The LCM of 130,542,714,778,284 is 694734402180.

Find LCM of 130,542,714,778,284 with Prime Factorization

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

2 x 65 x 271 x 357 x 389 x 142 = 694734402180

Therefore, the lowest common multiple of 130,542,714,778,284 is 694734402180.

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.

130 x 542 x 714 x 778 x 284 = 11115750434880

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

542 : 1, 2, 271, 542

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

778 : 1, 2, 389, 778

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,542,714,778,284, is 2.

Now, the common factors can be found like this.

130:2x 5x 13

542:2x 271

714:2x 3x 7x 17

778:2x 389

284:2x 2x 71

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11115750434880/(2x8)

LCM = 11115750434880/16

LCM = 694734402180

Thus, we can understand that the LCM of 130,542,714,778,284 is 694734402180.

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

• LCM of 982, 430, 878, 687, 515
• LCM of 185, 293, 906, 695, 738
• LCM of 349, 943, 498, 673, 980
• LCM of 722, 156, 540, 332, 819
• LCM of 787, 241, 439, 588, 410

1. What is the LCM of 130, 542, 714, 778, 284?

Answer: LCM of 130, 542, 714, 778, 284 is 694734402180.

2. How to calculate the LCM of 130, 542, 714, 778, 284?

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 130, 542, 714, 778, 284.

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}.