Given numbers are 687,410,552,522

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

The LCM of 687,410,552,522 is 2254486680.

Find LCM of 687,410,552,522 with Prime Factorization

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

2 x 3 x 229 x 205 x 92 x 87 = 2254486680

Therefore, the lowest common multiple of 687,410,552,522 is 2254486680.

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 410 x 552 x 522 = 81161520480

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,410,552,522, is 1.

Now, the common factors can be found like this.

687:3x 229

410:2x 5x 41

552:2x 2x 2x 3x 23

522:2x 3x 3x 29

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 81161520480/(1x36)

LCM = 81161520480/36

LCM = 2254486680

Thus, we can understand that the LCM of 687,410,552,522 is 2254486680.

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

• LCM of 510, 663, 940, 196
• LCM of 948, 403, 225, 711
• LCM of 658, 993, 856, 692
• LCM of 500, 356, 729, 640
• LCM of 359, 964, 691, 690

1. What is the LCM of 687, 410, 552, 522?

Answer: LCM of 687, 410, 552, 522 is 2254486680.

2. How to calculate the LCM of 687, 410, 552, 522?

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, 410, 552, 522.

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}.