Given numbers are 570,936,321,217

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

The LCM of 570,936,321,217 is 2064633480.

Find LCM of 570,936,321,217 with Prime Factorization

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

2 x 3 x 95 x 156 x 107 x 217 = 2064633480

Therefore, the lowest common multiple of 570,936,321,217 is 2064633480.

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 936 x 321 x 217 = 37163402640

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

321 : 1, 3, 107, 321

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,936,321,217, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

936:2x 2x 2x 3x 3x 13

321:3x 107

217:7x 31

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 3 = 18

Therefore, the value for common factors is 18.

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 = 37163402640/(1x18)

LCM = 37163402640/18

LCM = 2064633480

Thus, we can understand that the LCM of 570,936,321,217 is 2064633480.

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

• LCM of 639, 649, 775, 727
• LCM of 172, 407, 680, 863
• LCM of 828, 448, 951, 700
• LCM of 580, 250, 662, 408
• LCM of 756, 548, 141, 377

1. What is the LCM of 570, 936, 321, 217?

Answer: LCM of 570, 936, 321, 217 is 2064633480.

2. How to calculate the LCM of 570, 936, 321, 217?

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, 936, 321, 217.

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}.