Given numbers are 845,576,352,580,509

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

The LCM of 845,576,352,580,509 is 79029213120.

Find LCM of 845,576,352,580,509 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 169 x 18 x 11 x 29 x 509 = 79029213120

Therefore, the lowest common multiple of 845,576,352,580,509 is 79029213120.

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.

845 x 576 x 352 x 580 x 509 = 50578696396800

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.

845 : 1, 5, 13, 65, 169, 845

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,576,352,580,509, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

576:2x 2x 2x 2x 2x 2x 3x 3

352:2x 2x 2x 2x 2x 11

580:2x 2x 5x 29

509:509

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 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 50578696396800/(1x640)

LCM = 50578696396800/640

LCM = 79029213120

Thus, we can understand that the LCM of 845,576,352,580,509 is 79029213120.

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

• LCM of 513, 272, 455, 734, 993
• LCM of 847, 131, 613, 404, 345
• LCM of 272, 408, 693, 647, 760
• LCM of 557, 936, 191, 672, 931
• LCM of 550, 258, 410, 366, 293

1. What is the LCM of 845, 576, 352, 580, 509?

Answer: LCM of 845, 576, 352, 580, 509 is 79029213120.

2. How to calculate the LCM of 845, 576, 352, 580, 509?

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 845, 576, 352, 580, 509.

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}.