Given numbers are 204,221,614,395

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

The LCM of 204,221,614,395 is 321594780.

Find LCM of 204,221,614,395 with Prime Factorization

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

2 x 17 x 6 x 13 x 307 x 395 = 321594780

Therefore, the lowest common multiple of 204,221,614,395 is 321594780.

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 221 x 614 x 395 = 10934222520

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

221 : 1, 13, 17, 221

614 : 1, 2, 307, 614

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,221,614,395, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

221:13x 17

614:2x 307

395:5x 79

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 = 10934222520/(1x34)

LCM = 10934222520/34

LCM = 321594780

Thus, we can understand that the LCM of 204,221,614,395 is 321594780.

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

• LCM of 867, 630, 660, 910
• LCM of 645, 676, 800, 768
• LCM of 677, 289, 274, 537
• LCM of 196, 946, 624, 839
• LCM of 213, 802, 492, 542

1. What is the LCM of 204, 221, 614, 395?

Answer: LCM of 204, 221, 614, 395 is 321594780.

2. How to calculate the LCM of 204, 221, 614, 395?

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, 221, 614, 395.

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}.