Given numbers are 578,258,349,218,872

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

The LCM of 578,258,349,218,872 is 11345652168.

Find LCM of 578,258,349,218,872 with Prime Factorization

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

2 x 109 x 289 x 129 x 349 x 1 x 4 = 11345652168

Therefore, the lowest common multiple of 578,258,349,218,872 is 11345652168.

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.

578 x 258 x 349 x 218 x 872 = 9893408690496

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.

578 : 1, 2, 17, 34, 289, 578

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

349 : 1, 349

218 : 1, 2, 109, 218

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,258,349,218,872, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

258:2x 3x 43

349:349

218:2x 109

872:2x 2x 2x 109

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 109 = 872

Therefore, the value for common factors is 872.

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 = 9893408690496/(1x872)

LCM = 9893408690496/872

LCM = 11345652168

Thus, we can understand that the LCM of 578,258,349,218,872 is 11345652168.

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

• LCM of 132, 499, 987, 132, 117
• LCM of 472, 701, 390, 994, 340
• LCM of 504, 196, 119, 507, 566
• LCM of 800, 774, 962, 574, 873
• LCM of 883, 453, 247, 899, 318

1. What is the LCM of 578, 258, 349, 218, 872?

Answer: LCM of 578, 258, 349, 218, 872 is 11345652168.

2. How to calculate the LCM of 578, 258, 349, 218, 872?

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 578, 258, 349, 218, 872.

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}.