Given numbers are 676,484,278,620,413

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

The LCM of 676,484,278,620,413 is 727827760660.

Find LCM of 676,484,278,620,413 with Prime Factorization

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

2 x 2 x 169 x 121 x 139 x 155 x 413 = 727827760660

Therefore, the lowest common multiple of 676,484,278,620,413 is 727827760660.

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 484 x 278 x 620 x 413 = 23290488341120

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

278 : 1, 2, 139, 278

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,484,278,620,413, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

484:2x 2x 11x 11

278:2x 139

620:2x 2x 5x 31

413:7x 59

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 23290488341120/(1x32)

LCM = 23290488341120/32

LCM = 727827760660

Thus, we can understand that the LCM of 676,484,278,620,413 is 727827760660.

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

• LCM of 139, 596, 788, 433, 561
• LCM of 216, 505, 638, 555, 772
• LCM of 860, 790, 637, 434, 815
• LCM of 963, 945, 683, 351, 726
• LCM of 265, 996, 350, 480, 909

1. What is the LCM of 676, 484, 278, 620, 413?

Answer: LCM of 676, 484, 278, 620, 413 is 727827760660.

2. How to calculate the LCM of 676, 484, 278, 620, 413?

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, 484, 278, 620, 413.

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}.