Given numbers are 382,317,292,361,310

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

The LCM of 382,317,292,361,310 is 989268956420.

Find LCM of 382,317,292,361,310 with Prime Factorization

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

2 x 191 x 317 x 146 x 361 x 155 = 989268956420

Therefore, the lowest common multiple of 382,317,292,361,310 is 989268956420.

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.

382 x 317 x 292 x 361 x 310 = 3957075825680

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.

382 : 1, 2, 191, 382

317 : 1, 317

292 : 1, 2, 4, 73, 146, 292

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,317,292,361,310, is 1.

Now, the common factors can be found like this.

382:2x 191

317:317

292:2x 2x 73

361:19x 19

310:2x 5x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3957075825680/(1x4)

LCM = 3957075825680/4

LCM = 989268956420

Thus, we can understand that the LCM of 382,317,292,361,310 is 989268956420.

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

• LCM of 811, 809, 625, 215, 256
• LCM of 477, 599, 811, 982, 601
• LCM of 222, 256, 510, 856, 484
• LCM of 484, 577, 394, 325, 712
• LCM of 365, 913, 887, 240, 475

1. What is the LCM of 382, 317, 292, 361, 310?

Answer: LCM of 382, 317, 292, 361, 310 is 989268956420.

2. How to calculate the LCM of 382, 317, 292, 361, 310?

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 382, 317, 292, 361, 310.

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}.