Given numbers are 831,217,324,914

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

The LCM of 831,217,324,914 is 8900219412.

Find LCM of 831,217,324,914 with Prime Factorization

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

2 x 3 x 277 x 217 x 54 x 457 = 8900219412

Therefore, the lowest common multiple of 831,217,324,914 is 8900219412.

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.

831 x 217 x 324 x 914 = 53401316472

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.

831 : 1, 3, 277, 831

217 : 1, 7, 31, 217

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,217,324,914, is 1.

Now, the common factors can be found like this.

831:3x 277

217:7x 31

324:2x 2x 3x 3x 3x 3

914:2x 457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 53401316472/(1x6)

LCM = 53401316472/6

LCM = 8900219412

Thus, we can understand that the LCM of 831,217,324,914 is 8900219412.

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

• LCM of 820, 399, 815, 725
• LCM of 997, 720, 642, 520
• LCM of 457, 873, 697, 721
• LCM of 319, 528, 709, 284
• LCM of 332, 680, 158, 429

1. What is the LCM of 831, 217, 324, 914?

Answer: LCM of 831, 217, 324, 914 is 8900219412.

2. How to calculate the LCM of 831, 217, 324, 914?

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 831, 217, 324, 914.

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}.