Given numbers are 338,514,338,296,242

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

The LCM of 338,514,338,296,242 is 1555596328.

Find LCM of 338,514,338,296,242 with Prime Factorization

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

2 x 13 x 13 x 1 x 257 x 1 x 148 x 121 = 1555596328

Therefore, the lowest common multiple of 338,514,338,296,242 is 1555596328.

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 514 x 338 x 296 x 242 = 4206332470912

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

514 : 1, 2, 257, 514

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,514,338,296,242, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

514:2x 257

338:2x 13x 13

296:2x 2x 2x 37

242:2x 11x 11

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 4206332470912/(2x1352)

LCM = 4206332470912/2704

LCM = 1555596328

Thus, we can understand that the LCM of 338,514,338,296,242 is 1555596328.

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

• LCM of 695, 925, 975, 876, 555
• LCM of 925, 556, 767, 874, 868
• LCM of 943, 865, 506, 451, 506
• LCM of 986, 324, 668, 413, 575
• LCM of 325, 105, 135, 333, 378

1. What is the LCM of 338, 514, 338, 296, 242?

Answer: LCM of 338, 514, 338, 296, 242 is 1555596328.

2. How to calculate the LCM of 338, 514, 338, 296, 242?

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, 514, 338, 296, 242.

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}.