Given numbers are 725,285,568,493

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

The LCM of 725,285,568,493 is 399034200.

Find LCM of 725,285,568,493 with Prime Factorization

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

5 x 29 x 5 x 57 x 568 x 17 = 399034200

Therefore, the lowest common multiple of 725,285,568,493 is 399034200.

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 285 x 568 x 493 = 57859959000

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

285 : 1, 3, 5, 15, 19, 57, 95, 285

568 : 1, 2, 4, 8, 71, 142, 284, 568

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,285,568,493, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

285:3x 5x 19

568:2x 2x 2x 71

493:17x 29

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

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 57859959000/(1x145)

LCM = 57859959000/145

LCM = 399034200

Thus, we can understand that the LCM of 725,285,568,493 is 399034200.

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

• LCM of 427, 510, 498, 462
• LCM of 550, 573, 534, 421
• LCM of 852, 552, 218, 180
• LCM of 849, 384, 330, 651
• LCM of 517, 305, 206, 529

1. What is the LCM of 725, 285, 568, 493?

Answer: LCM of 725, 285, 568, 493 is 399034200.

2. How to calculate the LCM of 725, 285, 568, 493?

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, 285, 568, 493.

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}.