Given numbers are 258,377,872,596

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

The LCM of 258,377,872,596 is 6318788424.

Find LCM of 258,377,872,596 with Prime Factorization

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

2 x 2 x 129 x 377 x 218 x 149 = 6318788424

Therefore, the lowest common multiple of 258,377,872,596 is 6318788424.

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 377 x 872 x 596 = 50550307392

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

377 : 1, 13, 29, 377

872 : 1, 2, 4, 8, 109, 218, 436, 872

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,377,872,596, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

377:13x 29

872:2x 2x 2x 109

596:2x 2x 149

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 = 50550307392/(1x8)

LCM = 50550307392/8

LCM = 6318788424

Thus, we can understand that the LCM of 258,377,872,596 is 6318788424.

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

• LCM of 380, 467, 330, 116
• LCM of 250, 806, 951, 295
• LCM of 915, 764, 314, 503
• LCM of 353, 138, 556, 536
• LCM of 157, 477, 358, 574

1. What is the LCM of 258, 377, 872, 596?

Answer: LCM of 258, 377, 872, 596 is 6318788424.

2. How to calculate the LCM of 258, 377, 872, 596?

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, 377, 872, 596.

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}.