Given numbers are 580,660,905,880

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

The LCM of 580,660,905,880 is 13857360.

Find LCM of 580,660,905,880 with Prime Factorization

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

2 x 2 x 5 x 11 x 29 x 3 x 181 x 4 = 13857360

Therefore, the lowest common multiple of 580,660,905,880 is 13857360.

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.

580 x 660 x 905 x 880 = 304861920000

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.

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

905 : 1, 5, 181, 905

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,660,905,880, is 5.

Now, the common factors can be found like this.

580:2x 2x 5x 29

660:2x 2x 3x 5x 11

905:5x 181

880:2x 2x 2x 2x 5x 11

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 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 304861920000/(5x4400)

LCM = 304861920000/22000

LCM = 13857360

Thus, we can understand that the LCM of 580,660,905,880 is 13857360.

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

• LCM of 395, 697, 270, 602
• LCM of 127, 755, 429, 456
• LCM of 965, 756, 743, 370
• LCM of 217, 674, 249, 273
• LCM of 442, 576, 336, 551

1. What is the LCM of 580, 660, 905, 880?

Answer: LCM of 580, 660, 905, 880 is 13857360.

2. How to calculate the LCM of 580, 660, 905, 880?

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 580, 660, 905, 880.

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}.