Given numbers are 204,986,361,217

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

The LCM of 204,986,361,217 is 463441692.

Find LCM of 204,986,361,217 with Prime Factorization

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

2 x 17 x 6 x 29 x 361 x 217 = 463441692

Therefore, the lowest common multiple of 204,986,361,217 is 463441692.

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.

204 x 986 x 361 x 217 = 15757017528

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

986 : 1, 2, 17, 29, 34, 58, 493, 986

361 : 1, 19, 361

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,986,361,217, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

986:2x 17x 29

361:19x 19

217:7x 31

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 15757017528/(1x34)

LCM = 15757017528/34

LCM = 463441692

Thus, we can understand that the LCM of 204,986,361,217 is 463441692.

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

• LCM of 808, 808, 387, 950
• LCM of 894, 608, 587, 852
• LCM of 188, 199, 816, 113
• LCM of 980, 854, 633, 494
• LCM of 658, 119, 868, 950

1. What is the LCM of 204, 986, 361, 217?

Answer: LCM of 204, 986, 361, 217 is 463441692.

2. How to calculate the LCM of 204, 986, 361, 217?

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 204, 986, 361, 217.

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}.