Given numbers are 585,876,408,821,412

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

The LCM of 585,876,408,821,412 is 491131756440.

Find LCM of 585,876,408,821,412 with Prime Factorization

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

2 x 2 x 3 x 195 x 73 x 34 x 821 x 103 = 491131756440

Therefore, the lowest common multiple of 585,876,408,821,412 is 491131756440.

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.

585 x 876 x 408 x 821 x 412 = 70722972927360

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

821 : 1, 821

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,876,408,821,412, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

876:2x 2x 3x 73

408:2x 2x 2x 3x 17

821:821

412:2x 2x 103

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 70722972927360/(1x144)

LCM = 70722972927360/144

LCM = 491131756440

Thus, we can understand that the LCM of 585,876,408,821,412 is 491131756440.

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

• LCM of 103, 599, 408, 546, 109
• LCM of 129, 462, 713, 478, 792
• LCM of 634, 258, 166, 483, 111
• LCM of 960, 768, 483, 477, 833
• LCM of 371, 848, 371, 759, 402

1. What is the LCM of 585, 876, 408, 821, 412?

Answer: LCM of 585, 876, 408, 821, 412 is 491131756440.

2. How to calculate the LCM of 585, 876, 408, 821, 412?

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 585, 876, 408, 821, 412.

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}.