Given numbers are 805,160,230,585

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

The LCM of 805,160,230,585 is 3013920.

Find LCM of 805,160,230,585 with Prime Factorization

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

2 x 5 x 23 x 7 x 16 x 1 x 117 = 3013920

Therefore, the lowest common multiple of 805,160,230,585 is 3013920.

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.

805 x 160 x 230 x 585 = 17330040000

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

230 : 1, 2, 5, 10, 23, 46, 115, 230

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,160,230,585, is 5.

Now, the common factors can be found like this.

805:5x 7x 23

160:2x 2x 2x 2x 2x 5

230:2x 5x 23

585:3x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5x 23 = 1150

Therefore, the value for common factors is 1150.

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 = 17330040000/(5x1150)

LCM = 17330040000/5750

LCM = 3013920

Thus, we can understand that the LCM of 805,160,230,585 is 3013920.

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

• LCM of 115, 880, 173, 348
• LCM of 826, 753, 489, 969
• LCM of 895, 736, 397, 139
• LCM of 746, 179, 818, 798
• LCM of 404, 219, 239, 230

1. What is the LCM of 805, 160, 230, 585?

Answer: LCM of 805, 160, 230, 585 is 3013920.

2. How to calculate the LCM of 805, 160, 230, 585?

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 805, 160, 230, 585.

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}.