Given numbers are 828,228,845,686

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

The LCM of 828,228,845,686 is 4559684220.

Find LCM of 828,228,845,686 with Prime Factorization

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

2 x 2 x 3 x 69 x 19 x 845 x 343 = 4559684220

Therefore, the lowest common multiple of 828,228,845,686 is 4559684220.

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 228 x 845 x 686 = 109432421280

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

845 : 1, 5, 13, 65, 169, 845

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,228,845,686, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

228:2x 2x 3x 19

845:5x 13x 13

686:2x 7x 7x 7

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 = 109432421280/(1x24)

LCM = 109432421280/24

LCM = 4559684220

Thus, we can understand that the LCM of 828,228,845,686 is 4559684220.

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

• LCM of 865, 408, 248, 481
• LCM of 326, 269, 430, 733
• LCM of 405, 891, 807, 656
• LCM of 315, 404, 281, 578
• LCM of 469, 574, 807, 288

1. What is the LCM of 828, 228, 845, 686?

Answer: LCM of 828, 228, 845, 686 is 4559684220.

2. How to calculate the LCM of 828, 228, 845, 686?

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, 228, 845, 686.

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}.