Given numbers are 687,394,368,754,914

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

The LCM of 687,394,368,754,914 is 8580810917328.

Find LCM of 687,394,368,754,914 with Prime Factorization

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

2 x 687 x 197 x 184 x 377 x 457 = 8580810917328

Therefore, the lowest common multiple of 687,394,368,754,914 is 8580810917328.

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.

687 x 394 x 368 x 754 x 914 = 68646487338624

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.

687 : 1, 3, 229, 687

394 : 1, 2, 197, 394

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

754 : 1, 2, 13, 26, 29, 58, 377, 754

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,394,368,754,914, is 1.

Now, the common factors can be found like this.

687:3x 229

394:2x 197

368:2x 2x 2x 2x 23

754:2x 13x 29

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 68646487338624/(1x8)

LCM = 68646487338624/8

LCM = 8580810917328

Thus, we can understand that the LCM of 687,394,368,754,914 is 8580810917328.

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

• LCM of 559, 182, 601, 626, 865
• LCM of 725, 304, 540, 165, 111
• LCM of 594, 782, 751, 505, 737
• LCM of 139, 612, 897, 114, 944
• LCM of 338, 257, 150, 961, 381

1. What is the LCM of 687, 394, 368, 754, 914?

Answer: LCM of 687, 394, 368, 754, 914 is 8580810917328.

2. How to calculate the LCM of 687, 394, 368, 754, 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 687, 394, 368, 754, 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}.