Given numbers are 809,203,638,528,468

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

The LCM of 809,203,638,528,468 is 3381762384.

Find LCM of 809,203,638,528,468 with Prime Factorization

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

2 x 2 x 3 x 11 x 29 x 809 x 7 x 1 x 4 x 39 = 3381762384

Therefore, the lowest common multiple of 809,203,638,528,468 is 3381762384.

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.

809 x 203 x 638 x 528 x 468 = 25890772811904

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.

809 : 1, 809

203 : 1, 7, 29, 203

638 : 1, 2, 11, 22, 29, 58, 319, 638

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,203,638,528,468, is 1.

Now, the common factors can be found like this.

809:809

203:7x 29

638:2x 11x 29

528:2x 2x 2x 2x 3x 11

468:2x 2x 3x 3x 13

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 3x 11x 29 = 7656

Therefore, the value for common factors is 7656.

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 = 25890772811904/(1x7656)

LCM = 25890772811904/7656

LCM = 3381762384

Thus, we can understand that the LCM of 809,203,638,528,468 is 3381762384.

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

• LCM of 410, 482, 884, 663, 168
• LCM of 664, 132, 635, 810, 683
• LCM of 353, 858, 653, 390, 809
• LCM of 357, 108, 869, 747, 877
• LCM of 397, 569, 830, 135, 214

1. What is the LCM of 809, 203, 638, 528, 468?

Answer: LCM of 809, 203, 638, 528, 468 is 3381762384.

2. How to calculate the LCM of 809, 203, 638, 528, 468?

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 809, 203, 638, 528, 468.

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}.