Given numbers are 557,153,644,408,460

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

The LCM of 557,153,644,408,460 is 548823240.

Find LCM of 557,153,644,408,460 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 557 x 3 x 7 x 2 x 5 = 548823240

Therefore, the lowest common multiple of 557,153,644,408,460 is 548823240.

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.

557 x 153 x 644 x 408 x 460 = 10300314568320

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.

557 : 1, 557

153 : 1, 3, 9, 17, 51, 153

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,153,644,408,460, is 1.

Now, the common factors can be found like this.

557:557

153:3x 3x 17

644:2x 2x 7x 23

408:2x 2x 2x 3x 17

460:2x 2x 5x 23

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 3x 17x 23 = 18768

Therefore, the value for common factors is 18768.

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 = 10300314568320/(1x18768)

LCM = 10300314568320/18768

LCM = 548823240

Thus, we can understand that the LCM of 557,153,644,408,460 is 548823240.

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

• LCM of 603, 540, 447, 160, 233
• LCM of 960, 336, 676, 363, 701
• LCM of 271, 885, 331, 857, 561
• LCM of 127, 505, 645, 127, 773
• LCM of 437, 298, 291, 262, 396

1. What is the LCM of 557, 153, 644, 408, 460?

Answer: LCM of 557, 153, 644, 408, 460 is 548823240.

2. How to calculate the LCM of 557, 153, 644, 408, 460?

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 557, 153, 644, 408, 460.

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}.