Given numbers are 338,618,826,363,984

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

The LCM of 338,618,826,363,984 is 855961930824.

Find LCM of 338,618,826,363,984 with Prime Factorization

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

2 x 3 x 169 x 103 x 413 x 121 x 164 = 855961930824

Therefore, the lowest common multiple of 338,618,826,363,984 is 855961930824.

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 618 x 826 x 363 x 984 = 61629259019328

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

618 : 1, 2, 3, 6, 103, 206, 309, 618

826 : 1, 2, 7, 14, 59, 118, 413, 826

363 : 1, 3, 11, 33, 121, 363

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,618,826,363,984, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

618:2x 3x 103

826:2x 7x 59

363:3x 11x 11

984:2x 2x 2x 3x 41

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 3 = 72

Therefore, the value for common factors is 72.

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 = 61629259019328/(1x72)

LCM = 61629259019328/72

LCM = 855961930824

Thus, we can understand that the LCM of 338,618,826,363,984 is 855961930824.

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

• LCM of 562, 184, 109, 790, 778
• LCM of 721, 731, 948, 444, 741
• LCM of 116, 910, 985, 978, 627
• LCM of 519, 626, 263, 492, 426
• LCM of 814, 806, 677, 611, 858

1. What is the LCM of 338, 618, 826, 363, 984?

Answer: LCM of 338, 618, 826, 363, 984 is 855961930824.

2. How to calculate the LCM of 338, 618, 826, 363, 984?

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, 618, 826, 363, 984.

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}.