Given numbers are 386,960,571,418,578

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

The LCM of 386,960,571,418,578 is 6390116546880.

Find LCM of 386,960,571,418,578 with Prime Factorization

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

2 x 193 x 480 x 571 x 209 x 289 = 6390116546880

Therefore, the lowest common multiple of 386,960,571,418,578 is 6390116546880.

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.

386 x 960 x 571 x 418 x 578 = 51120932375040

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.

386 : 1, 2, 193, 386

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

571 : 1, 571

418 : 1, 2, 11, 19, 22, 38, 209, 418

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,960,571,418,578, is 1.

Now, the common factors can be found like this.

386:2x 193

960:2x 2x 2x 2x 2x 2x 3x 5

571:571

418:2x 11x 19

578:2x 17x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 51120932375040/(1x8)

LCM = 51120932375040/8

LCM = 6390116546880

Thus, we can understand that the LCM of 386,960,571,418,578 is 6390116546880.

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

• LCM of 329, 364, 855, 468, 174
• LCM of 359, 857, 118, 762, 593
• LCM of 399, 335, 789, 779, 137
• LCM of 226, 654, 829, 588, 961
• LCM of 145, 351, 775, 100, 898

1. What is the LCM of 386, 960, 571, 418, 578?

Answer: LCM of 386, 960, 571, 418, 578 is 6390116546880.

2. How to calculate the LCM of 386, 960, 571, 418, 578?

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 386, 960, 571, 418, 578.

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}.