Given numbers are 331,638,774,560,574

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

The LCM of 331,638,774,560,574 is 938213171280.

Find LCM of 331,638,774,560,574 with Prime Factorization

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

2 x 7 x 331 x 319 x 387 x 40 x 41 = 938213171280

Therefore, the lowest common multiple of 331,638,774,560,574 is 938213171280.

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.

331 x 638 x 774 x 560 x 574 = 52539937591680

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.

331 : 1, 331

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,638,774,560,574, is 1.

Now, the common factors can be found like this.

331:331

638:2x 11x 29

774:2x 3x 3x 43

560:2x 2x 2x 2x 5x 7

574:2x 7x 41

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 7 = 56

Therefore, the value for common factors is 56.

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 = 52539937591680/(1x56)

LCM = 52539937591680/56

LCM = 938213171280

Thus, we can understand that the LCM of 331,638,774,560,574 is 938213171280.

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

• LCM of 527, 613, 301, 441, 177
• LCM of 641, 525, 463, 489, 618
• LCM of 176, 222, 721, 730, 363
• LCM of 112, 356, 976, 174, 161
• LCM of 139, 333, 197, 912, 477

1. What is the LCM of 331, 638, 774, 560, 574?

Answer: LCM of 331, 638, 774, 560, 574 is 938213171280.

2. How to calculate the LCM of 331, 638, 774, 560, 574?

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 331, 638, 774, 560, 574.

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}.