Given numbers are 725,382,452,566

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

The LCM of 725,382,452,566 is 17713168100.

Find LCM of 725,382,452,566 with Prime Factorization

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

2 x 725 x 191 x 226 x 283 = 17713168100

Therefore, the lowest common multiple of 725,382,452,566 is 17713168100.

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.

725 x 382 x 452 x 566 = 70852672400

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.

725 : 1, 5, 25, 29, 145, 725

382 : 1, 2, 191, 382

452 : 1, 2, 4, 113, 226, 452

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,382,452,566, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

382:2x 191

452:2x 2x 113

566:2x 283

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 = 70852672400/(1x4)

LCM = 70852672400/4

LCM = 17713168100

Thus, we can understand that the LCM of 725,382,452,566 is 17713168100.

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

• LCM of 316, 605, 606, 928
• LCM of 264, 968, 527, 452
• LCM of 391, 889, 645, 875
• LCM of 233, 755, 861, 653
• LCM of 360, 833, 988, 894

1. What is the LCM of 725, 382, 452, 566?

Answer: LCM of 725, 382, 452, 566 is 17713168100.

2. How to calculate the LCM of 725, 382, 452, 566?

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 725, 382, 452, 566.

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}.