Given numbers are 816,475,415,490,580

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

The LCM of 816,475,415,490,580 is 45714706800.

Find LCM of 816,475,415,490,580 with Prime Factorization

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

2 x 2 x 5 x 204 x 95 x 83 x 49 x 29 = 45714706800

Therefore, the lowest common multiple of 816,475,415,490,580 is 45714706800.

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.

816 x 475 x 415 x 490 x 580 = 45714706800000

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.

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

475 : 1, 5, 19, 25, 95, 475

415 : 1, 5, 83, 415

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,475,415,490,580, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

475:5x 5x 19

415:5x 83

490:2x 5x 7x 7

580:2x 2x 5x 29

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 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 45714706800000/(1x1000)

LCM = 45714706800000/1000

LCM = 45714706800

Thus, we can understand that the LCM of 816,475,415,490,580 is 45714706800.

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

• LCM of 397, 511, 656, 481, 246
• LCM of 415, 200, 390, 419, 450
• LCM of 340, 835, 449, 191, 911
• LCM of 138, 406, 131, 251, 355
• LCM of 445, 140, 651, 260, 260

1. What is the LCM of 816, 475, 415, 490, 580?

Answer: LCM of 816, 475, 415, 490, 580 is 45714706800.

2. How to calculate the LCM of 816, 475, 415, 490, 580?

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 816, 475, 415, 490, 580.

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}.