Given numbers are 226,480,198,463,791

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

The LCM of 226,480,198,463,791 is 5801130720.

Find LCM of 226,480,198,463,791 with Prime Factorization

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

2 x 3 x 113 x 1 x 80 x 33 x 463 x 7 = 5801130720

Therefore, the lowest common multiple of 226,480,198,463,791 is 5801130720.

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.

226 x 480 x 198 x 463 x 791 = 7866333256320

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.

226 : 1, 2, 113, 226

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

463 : 1, 463

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,480,198,463,791, is 1.

Now, the common factors can be found like this.

226:2x 113

480:2x 2x 2x 2x 2x 3x 5

198:2x 3x 3x 11

463:463

791:7x 113

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 3x 113 = 1356

Therefore, the value for common factors is 1356.

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 = 7866333256320/(1x1356)

LCM = 7866333256320/1356

LCM = 5801130720

Thus, we can understand that the LCM of 226,480,198,463,791 is 5801130720.

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

• LCM of 533, 355, 941, 469, 455
• LCM of 405, 187, 454, 812, 673
• LCM of 536, 483, 776, 322, 337
• LCM of 186, 898, 607, 825, 999
• LCM of 947, 291, 510, 425, 474

1. What is the LCM of 226, 480, 198, 463, 791?

Answer: LCM of 226, 480, 198, 463, 791 is 5801130720.

2. How to calculate the LCM of 226, 480, 198, 463, 791?

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 226, 480, 198, 463, 791.

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}.