Given numbers are 676,983,377,363,338

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

The LCM of 676,983,377,363,338 is 6995275716.

Find LCM of 676,983,377,363,338 with Prime Factorization

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

2 x 13 x 13 x 2 x 983 x 29 x 363 x 1 = 6995275716

Therefore, the lowest common multiple of 676,983,377,363,338 is 6995275716.

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.

676 x 983 x 377 x 363 x 338 = 30737241496104

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

983 : 1, 983

377 : 1, 13, 29, 377

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,983,377,363,338, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

983:983

377:13x 29

363:3x 11x 11

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 13x 13 = 4394

Therefore, the value for common factors is 4394.

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 = 30737241496104/(1x4394)

LCM = 30737241496104/4394

LCM = 6995275716

Thus, we can understand that the LCM of 676,983,377,363,338 is 6995275716.

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

• LCM of 927, 105, 126, 249, 977
• LCM of 934, 987, 204, 683, 608
• LCM of 977, 964, 181, 939, 956
• LCM of 548, 125, 773, 997, 243
• LCM of 732, 780, 952, 714, 824

1. What is the LCM of 676, 983, 377, 363, 338?

Answer: LCM of 676, 983, 377, 363, 338 is 6995275716.

2. How to calculate the LCM of 676, 983, 377, 363, 338?

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 676, 983, 377, 363, 338.

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}.