Given numbers are 568,419,128,556,269

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

The LCM of 568,419,128,556,269 is 142380141952.

Find LCM of 568,419,128,556,269 with Prime Factorization

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

2 x 2 x 2 x 71 x 419 x 16 x 139 x 269 = 142380141952

Therefore, the lowest common multiple of 568,419,128,556,269 is 142380141952.

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.

568 x 419 x 128 x 556 x 269 = 4556164542464

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.

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

419 : 1, 419

128 : 1, 2, 4, 8, 16, 32, 64, 128

556 : 1, 2, 4, 139, 278, 556

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,419,128,556,269, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

419:419

128:2x 2x 2x 2x 2x 2x 2

556:2x 2x 139

269:269

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 2 = 32

Therefore, the value for common factors is 32.

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 = 4556164542464/(1x32)

LCM = 4556164542464/32

LCM = 142380141952

Thus, we can understand that the LCM of 568,419,128,556,269 is 142380141952.

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

• LCM of 269, 644, 555, 721, 730
• LCM of 819, 988, 583, 812, 220
• LCM of 229, 726, 357, 191, 394
• LCM of 998, 931, 796, 117, 916
• LCM of 990, 631, 901, 215, 223

1. What is the LCM of 568, 419, 128, 556, 269?

Answer: LCM of 568, 419, 128, 556, 269 is 142380141952.

2. How to calculate the LCM of 568, 419, 128, 556, 269?

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 568, 419, 128, 556, 269.

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}.