Given numbers are 258,394,720,825

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

The LCM of 258,394,720,825 is 335451600.

Find LCM of 258,394,720,825 with Prime Factorization

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

2 x 3 x 5 x 43 x 197 x 24 x 55 = 335451600

Therefore, the lowest common multiple of 258,394,720,825 is 335451600.

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.

258 x 394 x 720 x 825 = 60381288000

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

394 : 1, 2, 197, 394

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,394,720,825, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

394:2x 197

720:2x 2x 2x 2x 3x 3x 5

825:3x 5x 5x 11

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 60381288000/(1x180)

LCM = 60381288000/180

LCM = 335451600

Thus, we can understand that the LCM of 258,394,720,825 is 335451600.

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

• LCM of 334, 995, 885, 392
• LCM of 616, 488, 133, 902
• LCM of 199, 384, 701, 397
• LCM of 470, 248, 892, 943
• LCM of 777, 996, 301, 299

1. What is the LCM of 258, 394, 720, 825?

Answer: LCM of 258, 394, 720, 825 is 335451600.

2. How to calculate the LCM of 258, 394, 720, 825?

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 258, 394, 720, 825.

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}.