Given numbers are 813,408,582,352,714

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

The LCM of 813,408,582,352,714 is 3303329568.

Find LCM of 813,408,582,352,714 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 271 x 1 x 97 x 44 x 7 = 3303329568

Therefore, the lowest common multiple of 813,408,582,352,714 is 3303329568.

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.

813 x 408 x 582 x 352 x 714 = 48519304694784

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.

813 : 1, 3, 271, 813

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,408,582,352,714, is 1.

Now, the common factors can be found like this.

813:3x 271

408:2x 2x 2x 3x 17

582:2x 3x 97

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

714:2x 3x 7x 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 2x 3x 3x 3x 17 = 14688

Therefore, the value for common factors is 14688.

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 = 48519304694784/(1x14688)

LCM = 48519304694784/14688

LCM = 3303329568

Thus, we can understand that the LCM of 813,408,582,352,714 is 3303329568.

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

• LCM of 885, 281, 582, 759, 650
• LCM of 789, 354, 976, 429, 567
• LCM of 982, 970, 313, 418, 535
• LCM of 621, 321, 639, 528, 244
• LCM of 206, 137, 565, 698, 873

1. What is the LCM of 813, 408, 582, 352, 714?

Answer: LCM of 813, 408, 582, 352, 714 is 3303329568.

2. How to calculate the LCM of 813, 408, 582, 352, 714?

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 813, 408, 582, 352, 714.

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}.