Given numbers are 507,311,872,956

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

The LCM of 507,311,872,956 is 32861148216.

Find LCM of 507,311,872,956 with Prime Factorization

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

2 x 2 x 507 x 311 x 218 x 239 = 32861148216

Therefore, the lowest common multiple of 507,311,872,956 is 32861148216.

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.

507 x 311 x 872 x 956 = 131444592864

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.

507 : 1, 3, 13, 39, 169, 507

311 : 1, 311

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

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,311,872,956, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

311:311

872:2x 2x 2x 109

956:2x 2x 239

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 = 131444592864/(1x4)

LCM = 131444592864/4

LCM = 32861148216

Thus, we can understand that the LCM of 507,311,872,956 is 32861148216.

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

• LCM of 520, 581, 799, 317
• LCM of 172, 621, 800, 757
• LCM of 590, 745, 946, 511
• LCM of 574, 514, 390, 819
• LCM of 312, 880, 460, 242

1. What is the LCM of 507, 311, 872, 956?

Answer: LCM of 507, 311, 872, 956 is 32861148216.

2. How to calculate the LCM of 507, 311, 872, 956?

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 507, 311, 872, 956.

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}.