Given numbers are 898,642,312,891,285

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

The LCM of 898,642,312,891,285 is 422926372440.

Find LCM of 898,642,312,891,285 with Prime Factorization

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

2 x 3 x 449 x 107 x 52 x 297 x 95 = 422926372440

Therefore, the lowest common multiple of 898,642,312,891,285 is 422926372440.

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.

898 x 642 x 312 x 891 x 285 = 45676048223520

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.

898 : 1, 2, 449, 898

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,642,312,891,285, is 1.

Now, the common factors can be found like this.

898:2x 449

642:2x 3x 107

312:2x 2x 2x 3x 13

891:3x 3x 3x 3x 11

285:3x 5x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 45676048223520/(1x108)

LCM = 45676048223520/108

LCM = 422926372440

Thus, we can understand that the LCM of 898,642,312,891,285 is 422926372440.

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

• LCM of 617, 898, 598, 572, 291
• LCM of 707, 822, 819, 523, 256
• LCM of 640, 314, 100, 861, 399
• LCM of 706, 966, 513, 143, 874
• LCM of 310, 350, 347, 615, 349

1. What is the LCM of 898, 642, 312, 891, 285?

Answer: LCM of 898, 642, 312, 891, 285 is 422926372440.

2. How to calculate the LCM of 898, 642, 312, 891, 285?

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 898, 642, 312, 891, 285.

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}.