Given numbers are 676,624,460,296,854

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

The LCM of 676,624,460,296,854 is 14738571120.

Find LCM of 676,624,460,296,854 with Prime Factorization

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

2 x 2 x 2 x 13 x 13 x 6 x 115 x 37 x 427 = 14738571120

Therefore, the lowest common multiple of 676,624,460,296,854 is 14738571120.

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 624 x 460 x 296 x 854 = 49049964687360

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

296 : 1, 2, 4, 8, 37, 74, 148, 296

854 : 1, 2, 7, 14, 61, 122, 427, 854

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,624,460,296,854, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

624:2x 2x 2x 2x 3x 13

460:2x 2x 5x 23

296:2x 2x 2x 37

854:2x 7x 61

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 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 49049964687360/(2x1664)

LCM = 49049964687360/3328

LCM = 14738571120

Thus, we can understand that the LCM of 676,624,460,296,854 is 14738571120.

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

• LCM of 422, 765, 533, 487, 217
• LCM of 933, 845, 497, 871, 469
• LCM of 758, 544, 939, 442, 940
• LCM of 634, 786, 148, 667, 349
• LCM of 313, 118, 208, 463, 842

1. What is the LCM of 676, 624, 460, 296, 854?

Answer: LCM of 676, 624, 460, 296, 854 is 14738571120.

2. How to calculate the LCM of 676, 624, 460, 296, 854?

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, 624, 460, 296, 854.

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}.