Given numbers are 678,204,878,686,331

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

The LCM of 678,204,878,686,331 is 1148934432324.

Find LCM of 678,204,878,686,331 with Prime Factorization

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

2 x 3 x 113 x 34 x 439 x 343 x 331 = 1148934432324

Therefore, the lowest common multiple of 678,204,878,686,331 is 1148934432324.

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.

678 x 204 x 878 x 686 x 331 = 27574426375776

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

878 : 1, 2, 439, 878

686 : 1, 2, 7, 14, 49, 98, 343, 686

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,204,878,686,331, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

204:2x 2x 3x 17

878:2x 439

686:2x 7x 7x 7

331:331

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27574426375776/(1x24)

LCM = 27574426375776/24

LCM = 1148934432324

Thus, we can understand that the LCM of 678,204,878,686,331 is 1148934432324.

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

• LCM of 440, 828, 658, 217, 173
• LCM of 689, 243, 544, 903, 783
• LCM of 697, 941, 612, 707, 447
• LCM of 633, 361, 275, 116, 661
• LCM of 420, 395, 228, 286, 175

1. What is the LCM of 678, 204, 878, 686, 331?

Answer: LCM of 678, 204, 878, 686, 331 is 1148934432324.

2. How to calculate the LCM of 678, 204, 878, 686, 331?

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 678, 204, 878, 686, 331.

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}.