Given numbers are 819,240,204,489,349

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

The LCM of 819,240,204,489,349 is 63363016080.

Find LCM of 819,240,204,489,349 with Prime Factorization

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

2 x 2 x 3 x 273 x 20 x 17 x 163 x 349 = 63363016080

Therefore, the lowest common multiple of 819,240,204,489,349 is 63363016080.

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.

819 x 240 x 204 x 489 x 349 = 6843205736640

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

489 : 1, 3, 163, 489

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,240,204,489,349, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

240:2x 2x 2x 2x 3x 5

204:2x 2x 3x 17

489:3x 163

349:349

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 6843205736640/(1x108)

LCM = 6843205736640/108

LCM = 63363016080

Thus, we can understand that the LCM of 819,240,204,489,349 is 63363016080.

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

• LCM of 418, 937, 585, 747, 976
• LCM of 308, 254, 900, 872, 704
• LCM of 317, 750, 734, 970, 604
• LCM of 404, 420, 140, 718, 800
• LCM of 441, 324, 205, 864, 108

1. What is the LCM of 819, 240, 204, 489, 349?

Answer: LCM of 819, 240, 204, 489, 349 is 63363016080.

2. How to calculate the LCM of 819, 240, 204, 489, 349?

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 819, 240, 204, 489, 349.

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}.