Given numbers are 645,920,312,580,502

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

The LCM of 645,920,312,580,502 is 11230332360.

Find LCM of 645,920,312,580,502 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 43 x 23 x 13 x 29 x 251 = 11230332360

Therefore, the lowest common multiple of 645,920,312,580,502 is 11230332360.

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.

645 x 920 x 312 x 580 x 502 = 53905595328000

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,920,312,580,502, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

920:2x 2x 2x 5x 23

312:2x 2x 2x 3x 13

580:2x 2x 5x 29

502:2x 251

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 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 53905595328000/(1x4800)

LCM = 53905595328000/4800

LCM = 11230332360

Thus, we can understand that the LCM of 645,920,312,580,502 is 11230332360.

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

• LCM of 964, 268, 357, 194, 330
• LCM of 316, 483, 700, 941, 453
• LCM of 305, 409, 476, 513, 620
• LCM of 580, 191, 864, 735, 329
• LCM of 668, 282, 425, 640, 413

1. What is the LCM of 645, 920, 312, 580, 502?

Answer: LCM of 645, 920, 312, 580, 502 is 11230332360.

2. How to calculate the LCM of 645, 920, 312, 580, 502?

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 645, 920, 312, 580, 502.

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}.