Given numbers are 586,642,278,630,368

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

The LCM of 586,642,278,630,368 is 505154900880.

Find LCM of 586,642,278,630,368 with Prime Factorization

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

2 x 3 x 293 x 107 x 139 x 105 x 184 = 505154900880

Therefore, the lowest common multiple of 586,642,278,630,368 is 505154900880.

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.

586 x 642 x 278 x 630 x 368 = 24247435242240

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.

586 : 1, 2, 293, 586

642 : 1, 2, 3, 6, 107, 214, 321, 642

278 : 1, 2, 139, 278

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,642,278,630,368, is 2.

Now, the common factors can be found like this.

586:2x 293

642:2x 3x 107

278:2x 139

630:2x 3x 3x 5x 7

368:2x 2x 2x 2x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 24247435242240/(2x24)

LCM = 24247435242240/48

LCM = 505154900880

Thus, we can understand that the LCM of 586,642,278,630,368 is 505154900880.

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

• LCM of 611, 407, 932, 802, 920
• LCM of 177, 238, 600, 839, 631
• LCM of 727, 916, 913, 562, 824
• LCM of 624, 195, 634, 675, 880
• LCM of 923, 246, 551, 708, 438

1. What is the LCM of 586, 642, 278, 630, 368?

Answer: LCM of 586, 642, 278, 630, 368 is 505154900880.

2. How to calculate the LCM of 586, 642, 278, 630, 368?

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 586, 642, 278, 630, 368.

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}.