Given numbers are 252,397,480,579,257

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

The LCM of 252,397,480,579,257 is 198491297760.

Find LCM of 252,397,480,579,257 with Prime Factorization

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

2 x 2 x 3 x 21 x 397 x 40 x 193 x 257 = 198491297760

Therefore, the lowest common multiple of 252,397,480,579,257 is 198491297760.

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.

252 x 397 x 480 x 579 x 257 = 7145686719360

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

397 : 1, 397

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

579 : 1, 3, 193, 579

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,397,480,579,257, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

397:397

480:2x 2x 2x 2x 2x 3x 5

579:3x 193

257:257

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 3 = 36

Therefore, the value for common factors is 36.

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 = 7145686719360/(1x36)

LCM = 7145686719360/36

LCM = 198491297760

Thus, we can understand that the LCM of 252,397,480,579,257 is 198491297760.

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

• LCM of 638, 406, 442, 620, 961
• LCM of 209, 583, 595, 345, 276
• LCM of 115, 247, 406, 195, 311
• LCM of 420, 481, 197, 170, 272
• LCM of 765, 276, 151, 538, 836

1. What is the LCM of 252, 397, 480, 579, 257?

Answer: LCM of 252, 397, 480, 579, 257 is 198491297760.

2. How to calculate the LCM of 252, 397, 480, 579, 257?

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 252, 397, 480, 579, 257.

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}.