Given numbers are 338,858,257,958,760

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

The LCM of 338,858,257,958,760 is 521774527560.

Find LCM of 338,858,257,958,760 with Prime Factorization

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

2 x 13 x 13 x 33 x 257 x 479 x 380 = 521774527560

Therefore, the lowest common multiple of 338,858,257,958,760 is 521774527560.

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.

338 x 858 x 257 x 958 x 760 = 54264550866240

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.

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

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

257 : 1, 257

958 : 1, 2, 479, 958

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,858,257,958,760, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

858:2x 3x 11x 13

257:257

958:2x 479

760:2x 2x 2x 5x 19

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 13 = 104

Therefore, the value for common factors is 104.

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 = 54264550866240/(1x104)

LCM = 54264550866240/104

LCM = 521774527560

Thus, we can understand that the LCM of 338,858,257,958,760 is 521774527560.

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

• LCM of 784, 342, 776, 785, 954
• LCM of 762, 209, 152, 378, 352
• LCM of 801, 613, 354, 170, 349
• LCM of 866, 418, 200, 866, 504
• LCM of 287, 430, 885, 243, 679

1. What is the LCM of 338, 858, 257, 958, 760?

Answer: LCM of 338, 858, 257, 958, 760 is 521774527560.

2. How to calculate the LCM of 338, 858, 257, 958, 760?

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 338, 858, 257, 958, 760.

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}.