Given numbers are 230,625,580,108,394

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

The LCM of 230,625,580,108,394 is 8869432500.

Find LCM of 230,625,580,108,394 with Prime Factorization

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

2 x 2 x 5 x 23 x 125 x 29 x 27 x 197 = 8869432500

Therefore, the lowest common multiple of 230,625,580,108,394 is 8869432500.

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.

230 x 625 x 580 x 108 x 394 = 3547773000000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

625 : 1, 5, 25, 125, 625

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,625,580,108,394, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

625:5x 5x 5x 5

580:2x 2x 5x 29

108:2x 2x 3x 3x 3

394:2x 197

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 3547773000000/(1x400)

LCM = 3547773000000/400

LCM = 8869432500

Thus, we can understand that the LCM of 230,625,580,108,394 is 8869432500.

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

• LCM of 525, 668, 286, 762, 198
• LCM of 778, 771, 342, 185, 915
• LCM of 569, 277, 605, 956, 916
• LCM of 442, 820, 987, 206, 940
• LCM of 442, 419, 426, 218, 854

1. What is the LCM of 230, 625, 580, 108, 394?

Answer: LCM of 230, 625, 580, 108, 394 is 8869432500.

2. How to calculate the LCM of 230, 625, 580, 108, 394?

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 230, 625, 580, 108, 394.

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}.