Given numbers are 486,195,878,791,684

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

The LCM of 486,195,878,791,684 is 416844644580.

Find LCM of 486,195,878,791,684 with Prime Factorization

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

2 x 3 x 3 x 27 x 65 x 439 x 791 x 38 = 416844644580

Therefore, the lowest common multiple of 486,195,878,791,684 is 416844644580.

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.

486 x 195 x 878 x 791 x 684 = 45019221614640

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

195 : 1, 3, 5, 13, 15, 39, 65, 195

878 : 1, 2, 439, 878

791 : 1, 7, 113, 791

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,195,878,791,684, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

195:3x 5x 13

878:2x 439

791:7x 113

684:2x 2x 3x 3x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 45019221614640/(1x108)

LCM = 45019221614640/108

LCM = 416844644580

Thus, we can understand that the LCM of 486,195,878,791,684 is 416844644580.

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

• LCM of 308, 944, 414, 309, 124
• LCM of 800, 968, 828, 143, 449
• LCM of 978, 558, 287, 298, 718
• LCM of 656, 241, 127, 529, 927
• LCM of 656, 676, 164, 849, 241

1. What is the LCM of 486, 195, 878, 791, 684?

Answer: LCM of 486, 195, 878, 791, 684 is 416844644580.

2. How to calculate the LCM of 486, 195, 878, 791, 684?

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 486, 195, 878, 791, 684.

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}.