Given numbers are 676,720,311,436,278

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

The LCM of 676,720,311,436,278 is 573351414480.

Find LCM of 676,720,311,436,278 with Prime Factorization

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

2 x 2 x 169 x 180 x 311 x 109 x 139 = 573351414480

Therefore, the lowest common multiple of 676,720,311,436,278 is 573351414480.

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.

676 x 720 x 311 x 436 x 278 = 18347245263360

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

311 : 1, 311

436 : 1, 2, 4, 109, 218, 436

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,720,311,436,278, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

720:2x 2x 2x 2x 3x 3x 5

311:311

436:2x 2x 109

278:2x 139

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 2 = 32

Therefore, the value for common factors is 32.

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 = 18347245263360/(1x32)

LCM = 18347245263360/32

LCM = 573351414480

Thus, we can understand that the LCM of 676,720,311,436,278 is 573351414480.

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

• LCM of 500, 414, 295, 740, 116
• LCM of 714, 249, 223, 358, 979
• LCM of 335, 931, 989, 733, 978
• LCM of 583, 358, 751, 935, 829
• LCM of 298, 652, 583, 555, 564

1. What is the LCM of 676, 720, 311, 436, 278?

Answer: LCM of 676, 720, 311, 436, 278 is 573351414480.

2. How to calculate the LCM of 676, 720, 311, 436, 278?

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 676, 720, 311, 436, 278.

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}.