Given numbers are 808,656,676,264,974

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

The LCM of 808,656,676,264,974 is 179951229744.

Find LCM of 808,656,676,264,974 with Prime Factorization

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

2 x 2 x 2 x 101 x 82 x 169 x 33 x 487 = 179951229744

Therefore, the lowest common multiple of 808,656,676,264,974 is 179951229744.

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.

808 x 656 x 676 x 264 x 974 = 92135029628928

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,656,676,264,974, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

656:2x 2x 2x 2x 41

676:2x 2x 13x 13

264:2x 2x 2x 3x 11

974:2x 487

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 2 = 256

Therefore, the value for common factors is 256.

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 = 92135029628928/(2x256)

LCM = 92135029628928/512

LCM = 179951229744

Thus, we can understand that the LCM of 808,656,676,264,974 is 179951229744.

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

• LCM of 145, 507, 309, 508, 149
• LCM of 834, 757, 852, 555, 729
• LCM of 551, 334, 535, 635, 466
• LCM of 122, 677, 740, 429, 544
• LCM of 325, 471, 300, 297, 447

1. What is the LCM of 808, 656, 676, 264, 974?

Answer: LCM of 808, 656, 676, 264, 974 is 179951229744.

2. How to calculate the LCM of 808, 656, 676, 264, 974?

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 808, 656, 676, 264, 974.

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}.