Given numbers are 114,107,864,562,566

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

The LCM of 114,107,864,562,566 is 139683103776.

Find LCM of 114,107,864,562,566 with Prime Factorization

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

2 x 3 x 19 x 107 x 144 x 281 x 283 = 139683103776

Therefore, the lowest common multiple of 114,107,864,562,566 is 139683103776.

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.

114 x 107 x 864 x 562 x 566 = 3352394490624

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

107 : 1, 107

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

562 : 1, 2, 281, 562

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,107,864,562,566, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

107:107

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

562:2x 281

566:2x 283

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3352394490624/(1x24)

LCM = 3352394490624/24

LCM = 139683103776

Thus, we can understand that the LCM of 114,107,864,562,566 is 139683103776.

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

• LCM of 370, 980, 749, 338, 399
• LCM of 391, 508, 798, 287, 238
• LCM of 311, 659, 230, 870, 831
• LCM of 242, 689, 233, 874, 519
• LCM of 244, 801, 981, 927, 443

1. What is the LCM of 114, 107, 864, 562, 566?

Answer: LCM of 114, 107, 864, 562, 566 is 139683103776.

2. How to calculate the LCM of 114, 107, 864, 562, 566?

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 114, 107, 864, 562, 566.

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}.