Given numbers are 198,206,395,814

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

The LCM of 198,206,395,814 is 298058310.

Find LCM of 198,206,395,814 with Prime Factorization

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

2 x 11 x 9 x 103 x 395 x 37 = 298058310

Therefore, the lowest common multiple of 198,206,395,814 is 298058310.

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.

198 x 206 x 395 x 814 = 13114565640

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

206 : 1, 2, 103, 206

395 : 1, 5, 79, 395

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,206,395,814, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

206:2x 103

395:5x 79

814:2x 11x 37

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 11 = 44

Therefore, the value for common factors is 44.

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 = 13114565640/(1x44)

LCM = 13114565640/44

LCM = 298058310

Thus, we can understand that the LCM of 198,206,395,814 is 298058310.

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

• LCM of 215, 455, 302, 302
• LCM of 918, 138, 711, 253
• LCM of 344, 722, 897, 633
• LCM of 763, 743, 269, 312
• LCM of 788, 620, 328, 250

1. What is the LCM of 198, 206, 395, 814?

Answer: LCM of 198, 206, 395, 814 is 298058310.

2. How to calculate the LCM of 198, 206, 395, 814?

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 198, 206, 395, 814.

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}.