Given numbers are 580,780,660,816

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

The LCM of 580,780,660,816 is 16919760.

Find LCM of 580,780,660,816 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 13 x 11 x 68 = 16919760

Therefore, the lowest common multiple of 580,780,660,816 is 16919760.

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 780 x 660 x 816 = 243644544000

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,780,660,816, is 4.

Now, the common factors can be found like this.

580:2x 2x 5x 29

780:2x 2x 3x 5x 13

660:2x 2x 3x 5x 11

816:2x 2x 2x 2x 3x 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 2x 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 243644544000/(4x3600)

LCM = 243644544000/14400

LCM = 16919760

Thus, we can understand that the LCM of 580,780,660,816 is 16919760.

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

• LCM of 908, 125, 891, 420
• LCM of 136, 689, 114, 408
• LCM of 621, 328, 152, 473
• LCM of 695, 943, 256, 981
• LCM of 731, 871, 994, 799

1. What is the LCM of 580, 780, 660, 816?

Answer: LCM of 580, 780, 660, 816 is 16919760.

2. How to calculate the LCM of 580, 780, 660, 816?

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, 780, 660, 816.

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}.