Given numbers are 823,308,230,771,676

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

The LCM of 823,308,230,771,676 is 3798301847340.

Find LCM of 823,308,230,771,676 with Prime Factorization

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

2 x 2 x 823 x 77 x 115 x 771 x 169 = 3798301847340

Therefore, the lowest common multiple of 823,308,230,771,676 is 3798301847340.

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.

823 x 308 x 230 x 771 x 676 = 30386414778720

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.

823 : 1, 823

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

230 : 1, 2, 5, 10, 23, 46, 115, 230

771 : 1, 3, 257, 771

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,308,230,771,676, is 1.

Now, the common factors can be found like this.

823:823

308:2x 2x 7x 11

230:2x 5x 23

771:3x 257

676:2x 2x 13x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 30386414778720/(1x8)

LCM = 30386414778720/8

LCM = 3798301847340

Thus, we can understand that the LCM of 823,308,230,771,676 is 3798301847340.

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

• LCM of 362, 232, 406, 937, 705
• LCM of 942, 345, 556, 371, 103
• LCM of 125, 566, 752, 143, 513
• LCM of 864, 478, 957, 851, 775
• LCM of 187, 444, 955, 167, 553

1. What is the LCM of 823, 308, 230, 771, 676?

Answer: LCM of 823, 308, 230, 771, 676 is 3798301847340.

2. How to calculate the LCM of 823, 308, 230, 771, 676?

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 823, 308, 230, 771, 676.

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}.