Given numbers are 828,879,681,238,656

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

The LCM of 828,879,681,238,656 is 1074767743728.

Find LCM of 828,879,681,238,656 with Prime Factorization

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

2 x 2 x 3 x 69 x 293 x 227 x 119 x 164 = 1074767743728

Therefore, the lowest common multiple of 828,879,681,238,656 is 1074767743728.

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.

828 x 879 x 681 x 238 x 656 = 77383277548416

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

879 : 1, 3, 293, 879

681 : 1, 3, 227, 681

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,879,681,238,656, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

879:3x 293

681:3x 227

238:2x 7x 17

656:2x 2x 2x 2x 41

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 77383277548416/(1x72)

LCM = 77383277548416/72

LCM = 1074767743728

Thus, we can understand that the LCM of 828,879,681,238,656 is 1074767743728.

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

• LCM of 789, 533, 506, 889, 652
• LCM of 392, 724, 520, 261, 311
• LCM of 503, 188, 204, 738, 341
• LCM of 611, 917, 557, 343, 137
• LCM of 936, 129, 236, 980, 467

1. What is the LCM of 828, 879, 681, 238, 656?

Answer: LCM of 828, 879, 681, 238, 656 is 1074767743728.

2. How to calculate the LCM of 828, 879, 681, 238, 656?

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 828, 879, 681, 238, 656.

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}.