Given numbers are 391,405,408,363,924

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

The LCM of 391,405,408,363,924 is 1073013480.

Find LCM of 391,405,408,363,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 23 x 135 x 2 x 11 x 7 = 1073013480

Therefore, the lowest common multiple of 391,405,408,363,924 is 1073013480.

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.

391 x 405 x 408 x 363 x 924 = 21670580242080

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.

391 : 1, 17, 23, 391

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,405,408,363,924, is 1.

Now, the common factors can be found like this.

391:17x 23

405:3x 3x 3x 3x 5

408:2x 2x 2x 3x 17

363:3x 11x 11

924:2x 2x 3x 7x 11

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 3x 11x 17 = 20196

Therefore, the value for common factors is 20196.

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 = 21670580242080/(1x20196)

LCM = 21670580242080/20196

LCM = 1073013480

Thus, we can understand that the LCM of 391,405,408,363,924 is 1073013480.

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

• LCM of 130, 916, 576, 762, 167
• LCM of 766, 146, 373, 125, 660
• LCM of 886, 553, 601, 813, 254
• LCM of 911, 731, 718, 988, 174
• LCM of 539, 363, 304, 200, 392

1. What is the LCM of 391, 405, 408, 363, 924?

Answer: LCM of 391, 405, 408, 363, 924 is 1073013480.

2. How to calculate the LCM of 391, 405, 408, 363, 924?

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 391, 405, 408, 363, 924.

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}.