Given numbers are 310,382,617,204,578

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

The LCM of 310,382,617,204,578 is 63347476380.

Find LCM of 310,382,617,204,578 with Prime Factorization

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

2 x 17 x 155 x 191 x 617 x 6 x 17 = 63347476380

Therefore, the lowest common multiple of 310,382,617,204,578 is 63347476380.

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.

310 x 382 x 617 x 204 x 578 = 8615256787680

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

382 : 1, 2, 191, 382

617 : 1, 617

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,382,617,204,578, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

382:2x 191

617:617

204:2x 2x 3x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 8615256787680/(1x136)

LCM = 8615256787680/136

LCM = 63347476380

Thus, we can understand that the LCM of 310,382,617,204,578 is 63347476380.

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

• LCM of 332, 527, 857, 815, 706
• LCM of 388, 564, 381, 845, 382
• LCM of 105, 810, 423, 149, 774
• LCM of 370, 970, 403, 312, 616
• LCM of 427, 300, 785, 666, 731

1. What is the LCM of 310, 382, 617, 204, 578?

Answer: LCM of 310, 382, 617, 204, 578 is 63347476380.

2. How to calculate the LCM of 310, 382, 617, 204, 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 310, 382, 617, 204, 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}.