Given numbers are 258,214,822,849

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

The LCM of 258,214,822,849 is 1070312226.

Find LCM of 258,214,822,849 with Prime Factorization

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

2 x 3 x 43 x 107 x 137 x 283 = 1070312226

Therefore, the lowest common multiple of 258,214,822,849 is 1070312226.

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.

258 x 214 x 822 x 849 = 38531240136

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

214 : 1, 2, 107, 214

822 : 1, 2, 3, 6, 137, 274, 411, 822

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,214,822,849, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

214:2x 107

822:2x 3x 137

849:3x 283

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 38531240136/(1x36)

LCM = 38531240136/36

LCM = 1070312226

Thus, we can understand that the LCM of 258,214,822,849 is 1070312226.

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

• LCM of 198, 164, 417, 922
• LCM of 194, 654, 713, 528
• LCM of 411, 441, 163, 796
• LCM of 324, 216, 255, 733
• LCM of 717, 439, 629, 531

1. What is the LCM of 258, 214, 822, 849?

Answer: LCM of 258, 214, 822, 849 is 1070312226.

2. How to calculate the LCM of 258, 214, 822, 849?

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 258, 214, 822, 849.

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}.