Given numbers are 391,914,560,198,374

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

The LCM of 391,914,560,198,374 is 9906407280.

Find LCM of 391,914,560,198,374 with Prime Factorization

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

2 x 11 x 17 x 23 x 457 x 280 x 9 x 1 = 9906407280

Therefore, the lowest common multiple of 391,914,560,198,374 is 9906407280.

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.

391 x 914 x 560 x 198 x 374 = 14819985290880

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.

391 : 1, 17, 23, 391

914 : 1, 2, 457, 914

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

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,914,560,198,374, is 1.

Now, the common factors can be found like this.

391:17x 23

914:2x 457

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

198:2x 3x 3x 11

374:2x 11x 17

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 14819985290880/(1x1496)

LCM = 14819985290880/1496

LCM = 9906407280

Thus, we can understand that the LCM of 391,914,560,198,374 is 9906407280.

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

• LCM of 345, 980, 983, 264, 895
• LCM of 941, 145, 806, 530, 560
• LCM of 677, 371, 534, 892, 921
• LCM of 605, 937, 834, 594, 968
• LCM of 798, 124, 290, 634, 166

1. What is the LCM of 391, 914, 560, 198, 374?

Answer: LCM of 391, 914, 560, 198, 374 is 9906407280.

2. How to calculate the LCM of 391, 914, 560, 198, 374?

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 391, 914, 560, 198, 374.

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}.