Given numbers are 504,214,391,205,394

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

The LCM of 504,214,391,205,394 is 851551971480.

Find LCM of 504,214,391,205,394 with Prime Factorization

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

2 x 252 x 107 x 391 x 205 x 197 = 851551971480

Therefore, the lowest common multiple of 504,214,391,205,394 is 851551971480.

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.

504 x 214 x 391 x 205 x 394 = 3406207885920

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.

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

214 : 1, 2, 107, 214

391 : 1, 17, 23, 391

205 : 1, 5, 41, 205

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,214,391,205,394, is 1.

Now, the common factors can be found like this.

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

214:2x 107

391:17x 23

205:5x 41

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 2 = 4

Therefore, the value for common factors is 4.

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 = 3406207885920/(1x4)

LCM = 3406207885920/4

LCM = 851551971480

Thus, we can understand that the LCM of 504,214,391,205,394 is 851551971480.

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

• LCM of 894, 341, 347, 978, 493
• LCM of 244, 836, 138, 664, 711
• LCM of 575, 749, 227, 696, 151
• LCM of 858, 405, 815, 485, 346
• LCM of 796, 528, 191, 121, 981

1. What is the LCM of 504, 214, 391, 205, 394?

Answer: LCM of 504, 214, 391, 205, 394 is 851551971480.

2. How to calculate the LCM of 504, 214, 391, 205, 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 504, 214, 391, 205, 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}.