Given numbers are 684,728,181,905,814

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

The LCM of 684,728,181,905,814 is 45853287480.

Find LCM of 684,728,181,905,814 with Prime Factorization

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

2 x 2 x 181 x 171 x 182 x 1 x 5 x 407 = 45853287480

Therefore, the lowest common multiple of 684,728,181,905,814 is 45853287480.

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.

684 x 728 x 181 x 905 x 814 = 66395560271040

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.

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

181 : 1, 181

905 : 1, 5, 181, 905

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,728,181,905,814, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

728:2x 2x 2x 7x 13

181:181

905:5x 181

814:2x 11x 37

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 181 = 1448

Therefore, the value for common factors is 1448.

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 = 66395560271040/(1x1448)

LCM = 66395560271040/1448

LCM = 45853287480

Thus, we can understand that the LCM of 684,728,181,905,814 is 45853287480.

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

• LCM of 572, 867, 939, 501, 434
• LCM of 170, 967, 721, 198, 262
• LCM of 701, 200, 622, 139, 360
• LCM of 330, 912, 732, 523, 800
• LCM of 602, 645, 895, 147, 656

1. What is the LCM of 684, 728, 181, 905, 814?

Answer: LCM of 684, 728, 181, 905, 814 is 45853287480.

2. How to calculate the LCM of 684, 728, 181, 905, 814?

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 684, 728, 181, 905, 814.

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}.