Given numbers are 330,662,408,363,271

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

The LCM of 330,662,408,363,271 is 22141794840.

Find LCM of 330,662,408,363,271 with Prime Factorization

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

2 x 3 x 11 x 5 x 331 x 68 x 11 x 271 = 22141794840

Therefore, the lowest common multiple of 330,662,408,363,271 is 22141794840.

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.

330 x 662 x 408 x 363 x 271 = 8768150756640

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.

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

662 : 1, 2, 331, 662

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

363 : 1, 3, 11, 33, 121, 363

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,662,408,363,271, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

662:2x 331

408:2x 2x 2x 3x 17

363:3x 11x 11

271:271

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 11 = 396

Therefore, the value for common factors is 396.

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 = 8768150756640/(1x396)

LCM = 8768150756640/396

LCM = 22141794840

Thus, we can understand that the LCM of 330,662,408,363,271 is 22141794840.

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

• LCM of 572, 393, 724, 827, 993
• LCM of 290, 509, 154, 152, 463
• LCM of 237, 372, 430, 169, 441
• LCM of 401, 216, 655, 858, 413
• LCM of 167, 536, 557, 336, 536

1. What is the LCM of 330, 662, 408, 363, 271?

Answer: LCM of 330, 662, 408, 363, 271 is 22141794840.

2. How to calculate the LCM of 330, 662, 408, 363, 271?

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 330, 662, 408, 363, 271.

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}.