Given numbers are 238,877,258,226,578

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

The LCM of 238,877,258,226,578 is 51724181334.

Find LCM of 238,877,258,226,578 with Prime Factorization

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

2 x 17 x 7 x 877 x 129 x 113 x 17 = 51724181334

Therefore, the lowest common multiple of 238,877,258,226,578 is 51724181334.

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.

238 x 877 x 258 x 226 x 578 = 7034488661424

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

877 : 1, 877

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

226 : 1, 2, 113, 226

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,877,258,226,578, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

877:877

258:2x 3x 43

226:2x 113

578:2x 17x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 7034488661424/(1x136)

LCM = 7034488661424/136

LCM = 51724181334

Thus, we can understand that the LCM of 238,877,258,226,578 is 51724181334.

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

• LCM of 833, 150, 389, 616, 695
• LCM of 760, 532, 827, 170, 135
• LCM of 857, 904, 634, 892, 570
• LCM of 707, 903, 138, 123, 690
• LCM of 560, 414, 604, 656, 622

1. What is the LCM of 238, 877, 258, 226, 578?

Answer: LCM of 238, 877, 258, 226, 578 is 51724181334.

2. How to calculate the LCM of 238, 877, 258, 226, 578?

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 238, 877, 258, 226, 578.

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}.