Given numbers are 870,990,720,586

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

The LCM of 870,990,720,586 is 67296240.

Find LCM of 870,990,720,586 with Prime Factorization

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

2 x 3 x 3 x 5 x 29 x 11 x 8 x 293 = 67296240

Therefore, the lowest common multiple of 870,990,720,586 is 67296240.

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.

870 x 990 x 720 x 586 = 363399696000

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

586 : 1, 2, 293, 586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,990,720,586, is 2.

Now, the common factors can be found like this.

870:2x 3x 5x 29

990:2x 3x 3x 5x 11

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 363399696000/(2x2700)

LCM = 363399696000/5400

LCM = 67296240

Thus, we can understand that the LCM of 870,990,720,586 is 67296240.

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

• LCM of 445, 253, 324, 790
• LCM of 104, 111, 912, 329
• LCM of 148, 868, 187, 463
• LCM of 724, 431, 743, 974
• LCM of 323, 107, 115, 970

1. What is the LCM of 870, 990, 720, 586?

Answer: LCM of 870, 990, 720, 586 is 67296240.

2. How to calculate the LCM of 870, 990, 720, 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 870, 990, 720, 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}.