Given numbers are 209,323,331,576,638

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

The LCM of 209,323,331,576,638 is 19644622272.

Find LCM of 209,323,331,576,638 with Prime Factorization

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

2 x 11 x 19 x 1 x 17 x 331 x 288 x 29 = 19644622272

Therefore, the lowest common multiple of 209,323,331,576,638 is 19644622272.

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.

209 x 323 x 331 x 576 x 638 = 8211452109696

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.

209 : 1, 11, 19, 209

323 : 1, 17, 19, 323

331 : 1, 331

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,323,331,576,638, is 1.

Now, the common factors can be found like this.

209:11x 19

323:17x 19

331:331

576:2x 2x 2x 2x 2x 2x 3x 3

638:2x 11x 29

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 8211452109696/(1x418)

LCM = 8211452109696/418

LCM = 19644622272

Thus, we can understand that the LCM of 209,323,331,576,638 is 19644622272.

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

• LCM of 800, 623, 601, 113, 195
• LCM of 872, 829, 792, 829, 429
• LCM of 208, 461, 560, 835, 914
• LCM of 857, 417, 649, 222, 598
• LCM of 559, 684, 899, 993, 952

1. What is the LCM of 209, 323, 331, 576, 638?

Answer: LCM of 209, 323, 331, 576, 638 is 19644622272.

2. How to calculate the LCM of 209, 323, 331, 576, 638?

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 209, 323, 331, 576, 638.

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}.