Given numbers are 270,717,431,413,504

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

The LCM of 270,717,431,413,504 is 45946134360.

Find LCM of 270,717,431,413,504 with Prime Factorization

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

2 x 3 x 3 x 7 x 15 x 239 x 431 x 59 x 4 = 45946134360

Therefore, the lowest common multiple of 270,717,431,413,504 is 45946134360.

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.

270 x 717 x 431 x 413 x 504 = 17367638788080

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

717 : 1, 3, 239, 717

431 : 1, 431

413 : 1, 7, 59, 413

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,717,431,413,504, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

717:3x 239

431:431

413:7x 59

504:2x 2x 2x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 17367638788080/(1x378)

LCM = 17367638788080/378

LCM = 45946134360

Thus, we can understand that the LCM of 270,717,431,413,504 is 45946134360.

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

• LCM of 784, 133, 422, 285, 494
• LCM of 991, 401, 507, 316, 652
• LCM of 582, 166, 520, 841, 405
• LCM of 273, 530, 733, 850, 265
• LCM of 838, 143, 718, 277, 187

1. What is the LCM of 270, 717, 431, 413, 504?

Answer: LCM of 270, 717, 431, 413, 504 is 45946134360.

2. How to calculate the LCM of 270, 717, 431, 413, 504?

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 270, 717, 431, 413, 504.

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}.