Given numbers are 258,391,204,734,414

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

The LCM of 258,391,204,734,414 is 222133356.

Find LCM of 258,391,204,734,414 with Prime Factorization

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

2 x 3 x 17 x 23 x 43 x 1 x 2 x 367 x 3 = 222133356

Therefore, the lowest common multiple of 258,391,204,734,414 is 222133356.

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 391 x 204 x 734 x 414 = 6253498238112

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

391 : 1, 17, 23, 391

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

734 : 1, 2, 367, 734

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,391,204,734,414, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

391:17x 23

204:2x 2x 3x 17

734:2x 367

414:2x 3x 3x 23

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 3x 17x 23 = 28152

Therefore, the value for common factors is 28152.

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 = 6253498238112/(1x28152)

LCM = 6253498238112/28152

LCM = 222133356

Thus, we can understand that the LCM of 258,391,204,734,414 is 222133356.

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

• LCM of 918, 932, 154, 991, 390
• LCM of 729, 192, 961, 286, 342
• LCM of 302, 981, 607, 339, 988
• LCM of 313, 230, 270, 303, 916
• LCM of 922, 262, 894, 231, 213

1. What is the LCM of 258, 391, 204, 734, 414?

Answer: LCM of 258, 391, 204, 734, 414 is 222133356.

2. How to calculate the LCM of 258, 391, 204, 734, 414?

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, 391, 204, 734, 414.

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}.