Given numbers are 687,177,914,204

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

The LCM of 687,177,914,204 is 1259603508.

Find LCM of 687,177,914,204 with Prime Factorization

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

2 x 3 x 229 x 59 x 457 x 34 = 1259603508

Therefore, the lowest common multiple of 687,177,914,204 is 1259603508.

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 177 x 914 x 204 = 22672863144

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

177 : 1, 3, 59, 177

914 : 1, 2, 457, 914

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,177,914,204, is 1.

Now, the common factors can be found like this.

687:3x 229

177:3x 59

914:2x 457

204:2x 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 = 22672863144/(1x18)

LCM = 22672863144/18

LCM = 1259603508

Thus, we can understand that the LCM of 687,177,914,204 is 1259603508.

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

• LCM of 341, 714, 565, 939
• LCM of 758, 172, 694, 501
• LCM of 441, 583, 878, 784
• LCM of 627, 782, 605, 398
• LCM of 736, 433, 840, 695

1. What is the LCM of 687, 177, 914, 204?

Answer: LCM of 687, 177, 914, 204 is 1259603508.

2. How to calculate the LCM of 687, 177, 914, 204?

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, 177, 914, 204.

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}.