Given numbers are 214,974,891,920,572

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

The LCM of 214,974,891,920,572 is 555292263240.

Find LCM of 214,974,891,920,572 with Prime Factorization

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

2 x 2 x 11 x 107 x 487 x 81 x 230 x 13 = 555292263240

Therefore, the lowest common multiple of 214,974,891,920,572 is 555292263240.

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.

214 x 974 x 891 x 920 x 572 = 97731438330240

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.

214 : 1, 2, 107, 214

974 : 1, 2, 487, 974

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,974,891,920,572, is 1.

Now, the common factors can be found like this.

214:2x 107

974:2x 487

891:3x 3x 3x 3x 11

920:2x 2x 2x 5x 23

572:2x 2x 11x 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 2x 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 97731438330240/(1x176)

LCM = 97731438330240/176

LCM = 555292263240

Thus, we can understand that the LCM of 214,974,891,920,572 is 555292263240.

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

• LCM of 605, 323, 782, 948, 294
• LCM of 788, 995, 658, 840, 811
• LCM of 662, 745, 119, 658, 595
• LCM of 897, 488, 777, 622, 691
• LCM of 656, 710, 649, 477, 554

1. What is the LCM of 214, 974, 891, 920, 572?

Answer: LCM of 214, 974, 891, 920, 572 is 555292263240.

2. How to calculate the LCM of 214, 974, 891, 920, 572?

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 214, 974, 891, 920, 572.

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}.