Given numbers are 831,103,878,381,408

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

The LCM of 831,103,878,381,408 is 649001047944.

Find LCM of 831,103,878,381,408 with Prime Factorization

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

2 x 3 x 277 x 103 x 439 x 127 x 68 = 649001047944

Therefore, the lowest common multiple of 831,103,878,381,408 is 649001047944.

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 103 x 878 x 381 x 408 = 11682018862992

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

103 : 1, 103

878 : 1, 2, 439, 878

381 : 1, 3, 127, 381

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,103,878,381,408, is 1.

Now, the common factors can be found like this.

831:3x 277

103:103

878:2x 439

381:3x 127

408:2x 2x 2x 3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 11682018862992/(1x18)

LCM = 11682018862992/18

LCM = 649001047944

Thus, we can understand that the LCM of 831,103,878,381,408 is 649001047944.

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

• LCM of 546, 677, 550, 664, 354
• LCM of 628, 337, 660, 887, 346
• LCM of 222, 588, 369, 845, 311
• LCM of 806, 792, 343, 685, 513
• LCM of 933, 841, 360, 897, 416

1. What is the LCM of 831, 103, 878, 381, 408?

Answer: LCM of 831, 103, 878, 381, 408 is 649001047944.

2. How to calculate the LCM of 831, 103, 878, 381, 408?

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, 103, 878, 381, 408.

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}.