Given numbers are 258,612,323,869,638

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

The LCM of 258,612,323,869,638 is 12600600804.

Find LCM of 258,612,323,869,638 with Prime Factorization

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

2 x 3 x 11 x 17 x 43 x 6 x 19 x 79 x 29 = 12600600804

Therefore, the lowest common multiple of 258,612,323,869,638 is 12600600804.

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.

258 x 612 x 323 x 869 x 638 = 28275748204176

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

323 : 1, 17, 19, 323

869 : 1, 11, 79, 869

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,612,323,869,638, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

612:2x 2x 3x 3x 17

323:17x 19

869:11x 79

638:2x 11x 29

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 11x 17 = 2244

Therefore, the value for common factors is 2244.

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 = 28275748204176/(1x2244)

LCM = 28275748204176/2244

LCM = 12600600804

Thus, we can understand that the LCM of 258,612,323,869,638 is 12600600804.

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

• LCM of 829, 388, 149, 820, 985
• LCM of 595, 705, 262, 977, 976
• LCM of 973, 974, 407, 450, 783
• LCM of 857, 949, 767, 942, 255
• LCM of 261, 737, 339, 160, 290

1. What is the LCM of 258, 612, 323, 869, 638?

Answer: LCM of 258, 612, 323, 869, 638 is 12600600804.

2. How to calculate the LCM of 258, 612, 323, 869, 638?

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 258, 612, 323, 869, 638.

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}.