Given numbers are 580,720,840,626

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

The LCM of 580,720,840,626 is 45748080.

Find LCM of 580,720,840,626 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 29 x 6 x 7 x 313 = 45748080

Therefore, the lowest common multiple of 580,720,840,626 is 45748080.

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 720 x 840 x 626 = 219590784000

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

626 : 1, 2, 313, 626

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,720,840,626, is 2.

Now, the common factors can be found like this.

580:2x 2x 5x 29

720:2x 2x 2x 2x 3x 3x 5

840:2x 2x 2x 3x 5x 7

626:2x 313

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 219590784000/(2x2400)

LCM = 219590784000/4800

LCM = 45748080

Thus, we can understand that the LCM of 580,720,840,626 is 45748080.

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

• LCM of 132, 479, 808, 748
• LCM of 149, 599, 293, 478
• LCM of 400, 552, 581, 108
• LCM of 800, 722, 406, 978
• LCM of 613, 797, 145, 931

1. What is the LCM of 580, 720, 840, 626?

Answer: LCM of 580, 720, 840, 626 is 45748080.

2. How to calculate the LCM of 580, 720, 840, 626?

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, 720, 840, 626.

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}.