Given numbers are 813,864,614,811,750

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

The LCM of 813,864,614,811,750 is 7287058836000.

Find LCM of 813,864,614,811,750 with Prime Factorization

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

2 x 3 x 271 x 144 x 307 x 811 x 125 = 7287058836000

Therefore, the lowest common multiple of 813,864,614,811,750 is 7287058836000.

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.

813 x 864 x 614 x 811 x 750 = 262334118096000

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.

813 : 1, 3, 271, 813

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

614 : 1, 2, 307, 614

811 : 1, 811

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,864,614,811,750, is 1.

Now, the common factors can be found like this.

813:3x 271

864:2x 2x 2x 2x 2x 3x 3x 3

614:2x 307

811:811

750:2x 3x 5x 5x 5

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 3 = 36

Therefore, the value for common factors is 36.

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 = 262334118096000/(1x36)

LCM = 262334118096000/36

LCM = 7287058836000

Thus, we can understand that the LCM of 813,864,614,811,750 is 7287058836000.

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

• LCM of 700, 140, 450, 199, 963
• LCM of 296, 191, 885, 730, 602
• LCM of 638, 145, 518, 792, 553
• LCM of 511, 954, 578, 897, 596
• LCM of 490, 906, 586, 477, 181

1. What is the LCM of 813, 864, 614, 811, 750?

Answer: LCM of 813, 864, 614, 811, 750 is 7287058836000.

2. How to calculate the LCM of 813, 864, 614, 811, 750?

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 813, 864, 614, 811, 750.

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}.