Given numbers are 687,317,684

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

The LCM of 687,317,684 is 49653612.

Find LCM of 687,317,684 with Prime Factorization

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

3 x 229 x 317 x 228 = 49653612

Therefore, the lowest common multiple of 687,317,684 is 49653612.

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 317 x 684 = 148960836

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

317 : 1, 317

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,317,684, is 1.

Now, the common factors can be found like this.

687:3x 229

317:317

684:2x 2x 3x 3x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 148960836/(1x3)

LCM = 148960836/3

LCM = 49653612

Thus, we can understand that the LCM of 687,317,684 is 49653612.

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

• LCM of 569, 861, 402
• LCM of 994, 781, 476
• LCM of 437, 386, 221
• LCM of 542, 143, 349
• LCM of 927, 560, 496

1. What is the LCM of 687, 317, 684?

Answer: LCM of 687, 317, 684 is 49653612.

2. How to calculate the LCM of 687, 317, 684?

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, 317, 684.

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}.