Given numbers are 813,258,468,259

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

The LCM of 813,258,468,259 is 1412483436.

Find LCM of 813,258,468,259 with Prime Factorization

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

2 x 3 x 271 x 43 x 78 x 259 = 1412483436

Therefore, the lowest common multiple of 813,258,468,259 is 1412483436.

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.

813 x 258 x 468 x 259 = 25424701848

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.

813 : 1, 3, 271, 813

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,258,468,259, is 1.

Now, the common factors can be found like this.

813:3x 271

258:2x 3x 43

468:2x 2x 3x 3x 13

259:7x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 25424701848/(1x18)

LCM = 25424701848/18

LCM = 1412483436

Thus, we can understand that the LCM of 813,258,468,259 is 1412483436.

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

• LCM of 787, 854, 514, 517
• LCM of 503, 245, 998, 615
• LCM of 280, 322, 606, 386
• LCM of 532, 188, 357, 829
• LCM of 544, 915, 817, 749

1. What is the LCM of 813, 258, 468, 259?

Answer: LCM of 813, 258, 468, 259 is 1412483436.

2. How to calculate the LCM of 813, 258, 468, 259?

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 813, 258, 468, 259.

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}.