Given numbers are 676,914,311,162

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

The LCM of 676,914,311,162 is 7782306012.

Find LCM of 676,914,311,162 with Prime Factorization

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

2 x 338 x 457 x 311 x 81 = 7782306012

Therefore, the lowest common multiple of 676,914,311,162 is 7782306012.

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 914 x 311 x 162 = 31129224048

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

914 : 1, 2, 457, 914

311 : 1, 311

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,914,311,162, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

914:2x 457

311:311

162:2x 3x 3x 3x 3

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31129224048/(1x4)

LCM = 31129224048/4

LCM = 7782306012

Thus, we can understand that the LCM of 676,914,311,162 is 7782306012.

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

• LCM of 734, 925, 604, 870
• LCM of 375, 437, 127, 556
• LCM of 761, 460, 379, 190
• LCM of 605, 241, 905, 672
• LCM of 100, 570, 294, 342

1. What is the LCM of 676, 914, 311, 162?

Answer: LCM of 676, 914, 311, 162 is 7782306012.

2. How to calculate the LCM of 676, 914, 311, 162?

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, 914, 311, 162.

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}.