Given numbers are 570,713,164,505,214

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

The LCM of 570,713,164,505,214 is 360149975340.

Find LCM of 570,713,164,505,214 with Prime Factorization

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

2 x 5 x 57 x 713 x 82 x 101 x 107 = 360149975340

Therefore, the lowest common multiple of 570,713,164,505,214 is 360149975340.

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.

570 x 713 x 164 x 505 x 214 = 7202999506800

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

713 : 1, 23, 31, 713

164 : 1, 2, 4, 41, 82, 164

505 : 1, 5, 101, 505

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,713,164,505,214, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

713:23x 31

164:2x 2x 41

505:5x 101

214:2x 107

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 5 = 20

Therefore, the value for common factors is 20.

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 = 7202999506800/(1x20)

LCM = 7202999506800/20

LCM = 360149975340

Thus, we can understand that the LCM of 570,713,164,505,214 is 360149975340.

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

• LCM of 853, 279, 637, 229, 728
• LCM of 125, 696, 425, 417, 807
• LCM of 960, 687, 772, 932, 995
• LCM of 313, 737, 580, 426, 519
• LCM of 640, 617, 793, 493, 868

1. What is the LCM of 570, 713, 164, 505, 214?

Answer: LCM of 570, 713, 164, 505, 214 is 360149975340.

2. How to calculate the LCM of 570, 713, 164, 505, 214?

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 570, 713, 164, 505, 214.

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}.