Given numbers are 440,424,634,809,312

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

The LCM of 440,424,634,809,312 is 233238874440.

Find LCM of 440,424,634,809,312 with Prime Factorization

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

2 x 2 x 2 x 55 x 53 x 317 x 809 x 39 = 233238874440

Therefore, the lowest common multiple of 440,424,634,809,312 is 233238874440.

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.

440 x 424 x 634 x 809 x 312 = 29854575928320

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

424 : 1, 2, 4, 8, 53, 106, 212, 424

634 : 1, 2, 317, 634

809 : 1, 809

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,424,634,809,312, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

424:2x 2x 2x 53

634:2x 317

809:809

312:2x 2x 2x 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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 29854575928320/(1x128)

LCM = 29854575928320/128

LCM = 233238874440

Thus, we can understand that the LCM of 440,424,634,809,312 is 233238874440.

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

• LCM of 820, 350, 112, 792, 456
• LCM of 190, 577, 850, 612, 313
• LCM of 280, 365, 155, 661, 498
• LCM of 108, 767, 533, 561, 857
• LCM of 583, 301, 350, 927, 623

1. What is the LCM of 440, 424, 634, 809, 312?

Answer: LCM of 440, 424, 634, 809, 312 is 233238874440.

2. How to calculate the LCM of 440, 424, 634, 809, 312?

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 440, 424, 634, 809, 312.

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}.