Given numbers are 585,786,230,780

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

The LCM of 585,786,230,780 is 7050420.

Find LCM of 585,786,230,780 with Prime Factorization

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

2 x 3 x 5 x 13 x 3 x 131 x 23 x 2 = 7050420

Therefore, the lowest common multiple of 585,786,230,780 is 7050420.

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.

585 x 786 x 230 x 780 = 82489914000

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.

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,786,230,780, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

786:2x 3x 131

230:2x 5x 23

780:2x 2x 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 2x 3x 3x 5x 5x 13 = 11700

Therefore, the value for common factors is 11700.

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 = 82489914000/(1x11700)

LCM = 82489914000/11700

LCM = 7050420

Thus, we can understand that the LCM of 585,786,230,780 is 7050420.

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

• LCM of 704, 624, 670, 253
• LCM of 698, 934, 167, 151
• LCM of 717, 576, 971, 722
• LCM of 391, 698, 817, 965
• LCM of 653, 741, 714, 542

1. What is the LCM of 585, 786, 230, 780?

Answer: LCM of 585, 786, 230, 780 is 7050420.

2. How to calculate the LCM of 585, 786, 230, 780?

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 585, 786, 230, 780.

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}.