Given numbers are 214,413,860,802,821

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

The LCM of 214,413,860,802,821 is 12511800481460.

Find LCM of 214,413,860,802,821 with Prime Factorization

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

2 x 107 x 413 x 430 x 401 x 821 = 12511800481460

Therefore, the lowest common multiple of 214,413,860,802,821 is 12511800481460.

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 413 x 860 x 802 x 821 = 50047201925840

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

413 : 1, 7, 59, 413

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

802 : 1, 2, 401, 802

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,413,860,802,821, is 1.

Now, the common factors can be found like this.

214:2x 107

413:7x 59

860:2x 2x 5x 43

802:2x 401

821:821

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 50047201925840/(1x4)

LCM = 50047201925840/4

LCM = 12511800481460

Thus, we can understand that the LCM of 214,413,860,802,821 is 12511800481460.

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

• LCM of 688, 390, 185, 430, 179
• LCM of 695, 257, 539, 256, 633
• LCM of 188, 572, 631, 909, 131
• LCM of 308, 607, 855, 672, 787
• LCM of 631, 975, 651, 506, 607

1. What is the LCM of 214, 413, 860, 802, 821?

Answer: LCM of 214, 413, 860, 802, 821 is 12511800481460.

2. How to calculate the LCM of 214, 413, 860, 802, 821?

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, 413, 860, 802, 821.

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}.