Given numbers are 382,130,522,286,608

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

The LCM of 382,130,522,286,608 is 21671226720.

Find LCM of 382,130,522,286,608 with Prime Factorization

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

2 x 13 x 191 x 5 x 261 x 11 x 304 = 21671226720

Therefore, the lowest common multiple of 382,130,522,286,608 is 21671226720.

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 130 x 522 x 286 x 608 = 4507615157760

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,130,522,286,608, is 2.

Now, the common factors can be found like this.

382:2x 191

130:2x 5x 13

522:2x 3x 3x 29

286:2x 11x 13

608:2x 2x 2x 2x 2x 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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 4507615157760/(2x104)

LCM = 4507615157760/208

LCM = 21671226720

Thus, we can understand that the LCM of 382,130,522,286,608 is 21671226720.

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

• LCM of 574, 828, 496, 413, 959
• LCM of 101, 755, 276, 102, 214
• LCM of 799, 154, 911, 714, 155
• LCM of 619, 567, 953, 606, 325
• LCM of 948, 323, 894, 906, 706

1. What is the LCM of 382, 130, 522, 286, 608?

Answer: LCM of 382, 130, 522, 286, 608 is 21671226720.

2. How to calculate the LCM of 382, 130, 522, 286, 608?

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, 130, 522, 286, 608.

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}.