Given numbers are 508,460,388,207,722

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

The LCM of 508,460,388,207,722 is 18411238260.

Find LCM of 508,460,388,207,722 with Prime Factorization

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

2 x 2 x 23 x 127 x 5 x 97 x 9 x 361 = 18411238260

Therefore, the lowest common multiple of 508,460,388,207,722 is 18411238260.

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.

508 x 460 x 388 x 207 x 722 = 13550671359360

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.

508 : 1, 2, 4, 127, 254, 508

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

388 : 1, 2, 4, 97, 194, 388

207 : 1, 3, 9, 23, 69, 207

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,460,388,207,722, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

460:2x 2x 5x 23

388:2x 2x 97

207:3x 3x 23

722:2x 19x 19

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 2x 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 13550671359360/(1x736)

LCM = 13550671359360/736

LCM = 18411238260

Thus, we can understand that the LCM of 508,460,388,207,722 is 18411238260.

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

• LCM of 925, 746, 949, 809, 748
• LCM of 198, 802, 142, 276, 522
• LCM of 232, 114, 439, 790, 799
• LCM of 742, 779, 127, 711, 411
• LCM of 692, 123, 212, 739, 487

1. What is the LCM of 508, 460, 388, 207, 722?

Answer: LCM of 508, 460, 388, 207, 722 is 18411238260.

2. How to calculate the LCM of 508, 460, 388, 207, 722?

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 508, 460, 388, 207, 722.

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}.