Given numbers are 892,676,321,990,323

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

The LCM of 892,676,321,990,323 is 2578950805860.

Find LCM of 892,676,321,990,323 with Prime Factorization

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

2 x 2 x 3 x 223 x 169 x 107 x 165 x 323 = 2578950805860

Therefore, the lowest common multiple of 892,676,321,990,323 is 2578950805860.

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.

892 x 676 x 321 x 990 x 323 = 61894819340640

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.

892 : 1, 2, 4, 223, 446, 892

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

321 : 1, 3, 107, 321

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,676,321,990,323, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

676:2x 2x 13x 13

321:3x 107

990:2x 3x 3x 5x 11

323:17x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 61894819340640/(1x24)

LCM = 61894819340640/24

LCM = 2578950805860

Thus, we can understand that the LCM of 892,676,321,990,323 is 2578950805860.

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

• LCM of 906, 180, 138, 249, 656
• LCM of 389, 577, 897, 165, 415
• LCM of 368, 910, 281, 228, 148
• LCM of 180, 624, 739, 819, 596
• LCM of 747, 262, 781, 763, 522

1. What is the LCM of 892, 676, 321, 990, 323?

Answer: LCM of 892, 676, 321, 990, 323 is 2578950805860.

2. How to calculate the LCM of 892, 676, 321, 990, 323?

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 892, 676, 321, 990, 323.

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}.