Given numbers are 696,204,809,794,315

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

The LCM of 696,204,809,794,315 is 399012488280.

Find LCM of 696,204,809,794,315 with Prime Factorization

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

2 x 2 x 3 x 58 x 17 x 809 x 397 x 105 = 399012488280

Therefore, the lowest common multiple of 696,204,809,794,315 is 399012488280.

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.

696 x 204 x 809 x 794 x 315 = 28728899156160

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

809 : 1, 809

794 : 1, 2, 397, 794

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,204,809,794,315, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

204:2x 2x 3x 17

809:809

794:2x 397

315:3x 3x 5x 7

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 28728899156160/(1x72)

LCM = 28728899156160/72

LCM = 399012488280

Thus, we can understand that the LCM of 696,204,809,794,315 is 399012488280.

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

• LCM of 711, 940, 244, 890, 902
• LCM of 627, 433, 152, 705, 139
• LCM of 410, 606, 990, 771, 208
• LCM of 792, 602, 764, 222, 116
• LCM of 755, 979, 577, 483, 184

1. What is the LCM of 696, 204, 809, 794, 315?

Answer: LCM of 696, 204, 809, 794, 315 is 399012488280.

2. How to calculate the LCM of 696, 204, 809, 794, 315?

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 696, 204, 809, 794, 315.

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}.