Given numbers are 830,328,187,204,920

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

The LCM of 830,328,187,204,920 is 1756356360.

Find LCM of 830,328,187,204,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 83 x 41 x 11 x 3 x 23 = 1756356360

Therefore, the lowest common multiple of 830,328,187,204,920 is 1756356360.

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.

830 x 328 x 187 x 204 x 920 = 9554578598400

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

328 : 1, 2, 4, 8, 41, 82, 164, 328

187 : 1, 11, 17, 187

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,328,187,204,920, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

328:2x 2x 2x 41

187:11x 17

204:2x 2x 3x 17

920:2x 2x 2x 5x 23

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 2x 2x 2x 2x 5x 17 = 5440

Therefore, the value for common factors is 5440.

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 = 9554578598400/(1x5440)

LCM = 9554578598400/5440

LCM = 1756356360

Thus, we can understand that the LCM of 830,328,187,204,920 is 1756356360.

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

• LCM of 227, 870, 680, 452, 548
• LCM of 923, 176, 344, 981, 632
• LCM of 456, 944, 588, 901, 783
• LCM of 820, 288, 799, 556, 977
• LCM of 601, 593, 329, 941, 393

1. What is the LCM of 830, 328, 187, 204, 920?

Answer: LCM of 830, 328, 187, 204, 920 is 1756356360.

2. How to calculate the LCM of 830, 328, 187, 204, 920?

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 830, 328, 187, 204, 920.

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}.