Given numbers are 214,826,544,612,813

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

The LCM of 214,826,544,612,813 is 58633325856.

Find LCM of 214,826,544,612,813 with Prime Factorization

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

2 x 2 x 3 x 17 x 107 x 413 x 8 x 3 x 271 = 58633325856

Therefore, the lowest common multiple of 214,826,544,612,813 is 58633325856.

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 826 x 544 x 612 x 813 = 47844793898496

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

826 : 1, 2, 7, 14, 59, 118, 413, 826

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,826,544,612,813, is 1.

Now, the common factors can be found like this.

214:2x 107

826:2x 7x 59

544:2x 2x 2x 2x 2x 17

612:2x 2x 3x 3x 17

813:3x 271

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 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 47844793898496/(1x816)

LCM = 47844793898496/816

LCM = 58633325856

Thus, we can understand that the LCM of 214,826,544,612,813 is 58633325856.

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

• LCM of 903, 756, 396, 245, 272
• LCM of 897, 908, 500, 274, 318
• LCM of 846, 761, 420, 841, 765
• LCM of 709, 360, 684, 566, 594
• LCM of 405, 269, 656, 227, 441

1. What is the LCM of 214, 826, 544, 612, 813?

Answer: LCM of 214, 826, 544, 612, 813 is 58633325856.

2. How to calculate the LCM of 214, 826, 544, 612, 813?

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, 826, 544, 612, 813.

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}.