Given numbers are 891,432,214,777,249

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

The LCM of 891,432,214,777,249 is 32791351824.

Find LCM of 891,432,214,777,249 with Prime Factorization

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

2 x 3 x 3 x 3 x 33 x 8 x 107 x 259 x 83 = 32791351824

Therefore, the lowest common multiple of 891,432,214,777,249 is 32791351824.

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.

891 x 432 x 214 x 777 x 249 = 15936596986464

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

214 : 1, 2, 107, 214

777 : 1, 3, 7, 21, 37, 111, 259, 777

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,432,214,777,249, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

432:2x 2x 2x 2x 3x 3x 3

214:2x 107

777:3x 7x 37

249:3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 15936596986464/(1x486)

LCM = 15936596986464/486

LCM = 32791351824

Thus, we can understand that the LCM of 891,432,214,777,249 is 32791351824.

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

• LCM of 114, 898, 915, 610, 881
• LCM of 273, 666, 898, 283, 382
• LCM of 501, 101, 927, 979, 515
• LCM of 664, 437, 835, 658, 982
• LCM of 835, 995, 486, 665, 854

1. What is the LCM of 891, 432, 214, 777, 249?

Answer: LCM of 891, 432, 214, 777, 249 is 32791351824.

2. How to calculate the LCM of 891, 432, 214, 777, 249?

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 891, 432, 214, 777, 249.

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}.