Given numbers are 327,329,408,569,561

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

The LCM of 327,329,408,569,561 is 91577231592.

Find LCM of 327,329,408,569,561 with Prime Factorization

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

3 x 17 x 109 x 329 x 8 x 569 x 11 = 91577231592

Therefore, the lowest common multiple of 327,329,408,569,561 is 91577231592.

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.

327 x 329 x 408 x 569 x 561 = 14011316433576

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.

327 : 1, 3, 109, 327

329 : 1, 7, 47, 329

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

569 : 1, 569

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,329,408,569,561, is 1.

Now, the common factors can be found like this.

327:3x 109

329:7x 47

408:2x 2x 2x 3x 17

569:569

561:3x 11x 17

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

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 14011316433576/(1x153)

LCM = 14011316433576/153

LCM = 91577231592

Thus, we can understand that the LCM of 327,329,408,569,561 is 91577231592.

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

• LCM of 689, 395, 999, 294, 871
• LCM of 932, 590, 515, 348, 721
• LCM of 704, 795, 980, 303, 731
• LCM of 683, 909, 979, 335, 281
• LCM of 978, 553, 301, 962, 128

1. What is the LCM of 327, 329, 408, 569, 561?

Answer: LCM of 327, 329, 408, 569, 561 is 91577231592.

2. How to calculate the LCM of 327, 329, 408, 569, 561?

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 327, 329, 408, 569, 561.

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}.