Given numbers are 576,245,582,713,586

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

The LCM of 576,245,582,713,586 is 2859680093760.

Find LCM of 576,245,582,713,586 with Prime Factorization

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

2 x 3 x 96 x 245 x 97 x 713 x 293 = 2859680093760

Therefore, the lowest common multiple of 576,245,582,713,586 is 2859680093760.

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.

576 x 245 x 582 x 713 x 586 = 34316161125120

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

245 : 1, 5, 7, 35, 49, 245

582 : 1, 2, 3, 6, 97, 194, 291, 582

713 : 1, 23, 31, 713

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,245,582,713,586, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

245:5x 7x 7

582:2x 3x 97

713:23x 31

586:2x 293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 34316161125120/(1x12)

LCM = 34316161125120/12

LCM = 2859680093760

Thus, we can understand that the LCM of 576,245,582,713,586 is 2859680093760.

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

• LCM of 859, 214, 738, 961, 371
• LCM of 942, 551, 886, 366, 820
• LCM of 447, 652, 160, 814, 882
• LCM of 339, 523, 800, 847, 731
• LCM of 614, 505, 866, 140, 686

1. What is the LCM of 576, 245, 582, 713, 586?

Answer: LCM of 576, 245, 582, 713, 586 is 2859680093760.

2. How to calculate the LCM of 576, 245, 582, 713, 586?

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 576, 245, 582, 713, 586.

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}.