Given numbers are 258,214,260,791

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

The LCM of 258,214,260,791 is 2838724980.

Find LCM of 258,214,260,791 with Prime Factorization

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

2 x 129 x 107 x 130 x 791 = 2838724980

Therefore, the lowest common multiple of 258,214,260,791 is 2838724980.

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 260 x 791 = 11354899920

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,214,260,791, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

214:2x 107

260:2x 2x 5x 13

791:7x 113

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 = 11354899920/(1x4)

LCM = 11354899920/4

LCM = 2838724980

Thus, we can understand that the LCM of 258,214,260,791 is 2838724980.

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

• LCM of 182, 748, 696, 850
• LCM of 502, 940, 916, 126
• LCM of 269, 437, 407, 233
• LCM of 412, 551, 321, 162
• LCM of 849, 831, 139, 529

1. What is the LCM of 258, 214, 260, 791?

Answer: LCM of 258, 214, 260, 791 is 2838724980.

2. How to calculate the LCM of 258, 214, 260, 791?

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, 260, 791.

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}.