Given numbers are 500,228,772,578,570

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

The LCM of 500,228,772,578,570 is 1589644500.

Find LCM of 500,228,772,578,570 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 25 x 1 x 193 x 289 x 1 = 1589644500

Therefore, the lowest common multiple of 500,228,772,578,570 is 1589644500.

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.

500 x 228 x 772 x 578 x 570 = 28995115680000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

772 : 1, 2, 4, 193, 386, 772

578 : 1, 2, 17, 34, 289, 578

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,228,772,578,570, is 2.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

228:2x 2x 3x 19

772:2x 2x 193

578:2x 17x 17

570:2x 3x 5x 19

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 2x 2x 2x 3x 5x 19 = 9120

Therefore, the value for common factors is 9120.

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 = 28995115680000/(2x9120)

LCM = 28995115680000/18240

LCM = 1589644500

Thus, we can understand that the LCM of 500,228,772,578,570 is 1589644500.

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

• LCM of 377, 334, 441, 212, 953
• LCM of 967, 154, 689, 757, 294
• LCM of 359, 635, 371, 549, 241
• LCM of 661, 245, 116, 133, 836
• LCM of 691, 685, 600, 253, 754

1. What is the LCM of 500, 228, 772, 578, 570?

Answer: LCM of 500, 228, 772, 578, 570 is 1589644500.

2. How to calculate the LCM of 500, 228, 772, 578, 570?

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 500, 228, 772, 578, 570.

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}.