Given numbers are 817,864,133,104,627

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

The LCM of 817,864,133,104,627 is 706593888.

Find LCM of 817,864,133,104,627 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 43 x 36 x 7 x 13 x 11 = 706593888

Therefore, the lowest common multiple of 817,864,133,104,627 is 706593888.

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.

817 x 864 x 133 x 104 x 627 = 6121929445632

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.

817 : 1, 19, 43, 817

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

133 : 1, 7, 19, 133

104 : 1, 2, 4, 8, 13, 26, 52, 104

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,864,133,104,627, is 1.

Now, the common factors can be found like this.

817:19x 43

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

133:7x 19

104:2x 2x 2x 13

627:3x 11x 19

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 3x 19x 19 = 8664

Therefore, the value for common factors is 8664.

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 = 6121929445632/(1x8664)

LCM = 6121929445632/8664

LCM = 706593888

Thus, we can understand that the LCM of 817,864,133,104,627 is 706593888.

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

• LCM of 903, 244, 796, 396, 466
• LCM of 315, 874, 279, 279, 571
• LCM of 815, 704, 220, 148, 909
• LCM of 786, 210, 632, 429, 987
• LCM of 859, 273, 743, 766, 305

1. What is the LCM of 817, 864, 133, 104, 627?

Answer: LCM of 817, 864, 133, 104, 627 is 706593888.

2. How to calculate the LCM of 817, 864, 133, 104, 627?

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 817, 864, 133, 104, 627.

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}.