Given numbers are 856,330,522,398,578

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

The LCM of 856,330,522,398,578 is 706688266680.

Find LCM of 856,330,522,398,578 with Prime Factorization

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

2 x 3 x 428 x 55 x 87 x 199 x 289 = 706688266680

Therefore, the lowest common multiple of 856,330,522,398,578 is 706688266680.

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.

856 x 330 x 522 x 398 x 578 = 33921036800640

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

398 : 1, 2, 199, 398

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,330,522,398,578, is 2.

Now, the common factors can be found like this.

856:2x 2x 2x 107

330:2x 3x 5x 11

522:2x 3x 3x 29

398:2x 199

578:2x 17x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 33921036800640/(2x24)

LCM = 33921036800640/48

LCM = 706688266680

Thus, we can understand that the LCM of 856,330,522,398,578 is 706688266680.

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

• LCM of 924, 838, 988, 136, 331
• LCM of 832, 929, 558, 803, 671
• LCM of 207, 200, 640, 742, 346
• LCM of 933, 779, 275, 783, 887
• LCM of 368, 659, 942, 891, 924

1. What is the LCM of 856, 330, 522, 398, 578?

Answer: LCM of 856, 330, 522, 398, 578 is 706688266680.

2. How to calculate the LCM of 856, 330, 522, 398, 578?

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 856, 330, 522, 398, 578.

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}.