Given numbers are 501,676,758,702,678

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

The LCM of 501,676,758,702,678 is 130540293468.

Find LCM of 501,676,758,702,678 with Prime Factorization

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

2 x 3 x 13 x 167 x 26 x 379 x 9 x 113 = 130540293468

Therefore, the lowest common multiple of 501,676,758,702,678 is 130540293468.

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.

501 x 676 x 758 x 702 x 678 = 122185714686048

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.

501 : 1, 3, 167, 501

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

758 : 1, 2, 379, 758

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,676,758,702,678, is 1.

Now, the common factors can be found like this.

501:3x 167

676:2x 2x 13x 13

758:2x 379

702:2x 3x 3x 3x 13

678:2x 3x 113

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 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 122185714686048/(1x936)

LCM = 122185714686048/936

LCM = 130540293468

Thus, we can understand that the LCM of 501,676,758,702,678 is 130540293468.

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

• LCM of 746, 379, 346, 785, 529
• LCM of 346, 551, 532, 716, 295
• LCM of 840, 155, 711, 939, 345
• LCM of 571, 242, 338, 284, 980
• LCM of 378, 938, 101, 196, 342

1. What is the LCM of 501, 676, 758, 702, 678?

Answer: LCM of 501, 676, 758, 702, 678 is 130540293468.

2. How to calculate the LCM of 501, 676, 758, 702, 678?

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 501, 676, 758, 702, 678.

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}.