Given numbers are 676,404,247,590,991

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

The LCM of 676,404,247,590,991 is 379242797180.

Find LCM of 676,404,247,590,991 with Prime Factorization

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

2 x 2 x 13 x 13 x 101 x 19 x 295 x 991 = 379242797180

Therefore, the lowest common multiple of 676,404,247,590,991 is 379242797180.

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 404 x 247 x 590 x 991 = 39441250906720

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

404 : 1, 2, 4, 101, 202, 404

247 : 1, 13, 19, 247

590 : 1, 2, 5, 10, 59, 118, 295, 590

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,404,247,590,991, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

404:2x 2x 101

247:13x 19

590:2x 5x 59

991:991

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 = 39441250906720/(1x104)

LCM = 39441250906720/104

LCM = 379242797180

Thus, we can understand that the LCM of 676,404,247,590,991 is 379242797180.

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

• LCM of 720, 382, 747, 612, 787
• LCM of 404, 939, 415, 621, 575
• LCM of 138, 352, 657, 578, 507
• LCM of 345, 893, 101, 558, 363
• LCM of 503, 273, 874, 535, 988

1. What is the LCM of 676, 404, 247, 590, 991?

Answer: LCM of 676, 404, 247, 590, 991 is 379242797180.

2. How to calculate the LCM of 676, 404, 247, 590, 991?

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, 404, 247, 590, 991.

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}.