Given numbers are 214,844,389,216,857

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

The LCM of 214,844,389,216,857 is 1625737439736.

Find LCM of 214,844,389,216,857 with Prime Factorization

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

2 x 2 x 107 x 211 x 389 x 54 x 857 = 1625737439736

Therefore, the lowest common multiple of 214,844,389,216,857 is 1625737439736.

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 844 x 389 x 216 x 857 = 13005899517888

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

844 : 1, 2, 4, 211, 422, 844

389 : 1, 389

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,844,389,216,857, is 1.

Now, the common factors can be found like this.

214:2x 107

844:2x 2x 211

389:389

216:2x 2x 2x 3x 3x 3

857:857

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 = 13005899517888/(1x8)

LCM = 13005899517888/8

LCM = 1625737439736

Thus, we can understand that the LCM of 214,844,389,216,857 is 1625737439736.

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

• LCM of 612, 392, 802, 886, 797
• LCM of 282, 681, 204, 643, 540
• LCM of 326, 507, 191, 478, 380
• LCM of 814, 305, 694, 998, 668
• LCM of 723, 872, 175, 946, 323

1. What is the LCM of 214, 844, 389, 216, 857?

Answer: LCM of 214, 844, 389, 216, 857 is 1625737439736.

2. How to calculate the LCM of 214, 844, 389, 216, 857?

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, 844, 389, 216, 857.

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}.