Given numbers are 958,792,304,860,214

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

The LCM of 958,792,304,860,214 is 331639711920.

Find LCM of 958,792,304,860,214 with Prime Factorization

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

2 x 2 x 2 x 479 x 99 x 38 x 215 x 107 = 331639711920

Therefore, the lowest common multiple of 958,792,304,860,214 is 331639711920.

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.

958 x 792 x 304 x 860 x 214 = 42449883125760

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.

958 : 1, 2, 479, 958

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,792,304,860,214, is 2.

Now, the common factors can be found like this.

958:2x 479

792:2x 2x 2x 3x 3x 11

304:2x 2x 2x 2x 19

860:2x 2x 5x 43

214:2x 107

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 42449883125760/(2x64)

LCM = 42449883125760/128

LCM = 331639711920

Thus, we can understand that the LCM of 958,792,304,860,214 is 331639711920.

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

• LCM of 452, 626, 589, 484, 781
• LCM of 227, 371, 684, 472, 242
• LCM of 487, 723, 231, 348, 407
• LCM of 659, 892, 758, 307, 954
• LCM of 959, 898, 412, 933, 950

1. What is the LCM of 958, 792, 304, 860, 214?

Answer: LCM of 958, 792, 304, 860, 214 is 331639711920.

2. How to calculate the LCM of 958, 792, 304, 860, 214?

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 958, 792, 304, 860, 214.

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}.