Given numbers are 557,642,650,460,215

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

The LCM of 557,642,650,460,215 is 229879302900.

Find LCM of 557,642,650,460,215 with Prime Factorization

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

2 x 5 x 557 x 321 x 65 x 46 x 43 = 229879302900

Therefore, the lowest common multiple of 557,642,650,460,215 is 229879302900.

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 642 x 650 x 460 x 215 = 22987930290000

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,642,650,460,215, is 1.

Now, the common factors can be found like this.

557:557

642:2x 3x 107

650:2x 5x 5x 13

460:2x 2x 5x 23

215:5x 43

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 22987930290000/(1x100)

LCM = 22987930290000/100

LCM = 229879302900

Thus, we can understand that the LCM of 557,642,650,460,215 is 229879302900.

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

• LCM of 713, 563, 608, 106, 954
• LCM of 665, 309, 352, 457, 519
• LCM of 442, 446, 484, 381, 782
• LCM of 418, 910, 226, 845, 888
• LCM of 760, 327, 678, 184, 819

1. What is the LCM of 557, 642, 650, 460, 215?

Answer: LCM of 557, 642, 650, 460, 215 is 229879302900.

2. How to calculate the LCM of 557, 642, 650, 460, 215?

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, 642, 650, 460, 215.

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}.