Given numbers are 488,340,858,338,187

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

The LCM of 488,340,858,338,187 is 231333960.

Find LCM of 488,340,858,338,187 with Prime Factorization

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

2 x 2 x 11 x 13 x 17 x 122 x 5 x 3 x 13 x 1 = 231333960

Therefore, the lowest common multiple of 488,340,858,338,187 is 231333960.

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.

488 x 340 x 858 x 338 x 187 = 8997965708160

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

338 : 1, 2, 13, 26, 169, 338

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,340,858,338,187, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

340:2x 2x 5x 17

858:2x 3x 11x 13

338:2x 13x 13

187:11x 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 2x 11x 13x 17 = 38896

Therefore, the value for common factors is 38896.

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 = 8997965708160/(1x38896)

LCM = 8997965708160/38896

LCM = 231333960

Thus, we can understand that the LCM of 488,340,858,338,187 is 231333960.

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

• LCM of 273, 578, 171, 371, 826
• LCM of 626, 318, 849, 987, 300
• LCM of 702, 840, 114, 326, 909
• LCM of 149, 298, 776, 999, 487
• LCM of 377, 928, 868, 242, 523

1. What is the LCM of 488, 340, 858, 338, 187?

Answer: LCM of 488, 340, 858, 338, 187 is 231333960.

2. How to calculate the LCM of 488, 340, 858, 338, 187?

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 488, 340, 858, 338, 187.

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}.