Given numbers are 205,287,716,313,813

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

The LCM of 205,287,716,313,813 is 261456718740.

Find LCM of 205,287,716,313,813 with Prime Factorization

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

41 x 5 x 7 x 716 x 313 x 813 = 261456718740

Therefore, the lowest common multiple of 205,287,716,313,813 is 261456718740.

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.

205 x 287 x 716 x 313 x 813 = 10719725468340

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.

205 : 1, 5, 41, 205

287 : 1, 7, 41, 287

716 : 1, 2, 4, 179, 358, 716

313 : 1, 313

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,287,716,313,813, is 1.

Now, the common factors can be found like this.

205:5x 41

287:7x 41

716:2x 2x 179

313:313

813:3x 271

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

41 = 41

Therefore, the value for common factors is 41.

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 = 10719725468340/(1x41)

LCM = 10719725468340/41

LCM = 261456718740

Thus, we can understand that the LCM of 205,287,716,313,813 is 261456718740.

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

• LCM of 675, 605, 881, 283, 860
• LCM of 803, 886, 923, 393, 956
• LCM of 720, 353, 624, 429, 804
• LCM of 111, 806, 199, 999, 267
• LCM of 699, 422, 335, 509, 485

1. What is the LCM of 205, 287, 716, 313, 813?

Answer: LCM of 205, 287, 716, 313, 813 is 261456718740.

2. How to calculate the LCM of 205, 287, 716, 313, 813?

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 205, 287, 716, 313, 813.

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}.