Given numbers are 676,338,796,312,782

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

The LCM of 676,338,796,312,782 is 315593304.

Find LCM of 676,338,796,312,782 with Prime Factorization

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

2 x 2 x 13 x 13 x 1 x 1 x 199 x 6 x 391 = 315593304

Therefore, the lowest common multiple of 676,338,796,312,782 is 315593304.

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 338 x 796 x 312 x 782 = 44374943288832

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

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

796 : 1, 2, 4, 199, 398, 796

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

782 : 1, 2, 17, 23, 34, 46, 391, 782

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,338,796,312,782, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

338:2x 13x 13

796:2x 2x 199

312:2x 2x 2x 3x 13

782:2x 17x 23

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 2x 13x 13x 13 = 70304

Therefore, the value for common factors is 70304.

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 = 44374943288832/(2x70304)

LCM = 44374943288832/140608

LCM = 315593304

Thus, we can understand that the LCM of 676,338,796,312,782 is 315593304.

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

• LCM of 211, 869, 349, 116, 824
• LCM of 251, 741, 661, 345, 780
• LCM of 907, 920, 758, 481, 399
• LCM of 295, 200, 253, 838, 696
• LCM of 594, 837, 185, 200, 903

1. What is the LCM of 676, 338, 796, 312, 782?

Answer: LCM of 676, 338, 796, 312, 782 is 315593304.

2. How to calculate the LCM of 676, 338, 796, 312, 782?

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, 338, 796, 312, 782.

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}.