Given numbers are 107,756,984,408

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

The LCM of 107,756,984,408 is 112763448.

Find LCM of 107,756,984,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 107 x 63 x 41 x 17 = 112763448

Therefore, the lowest common multiple of 107,756,984,408 is 112763448.

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.

107 x 756 x 984 x 408 = 32475873024

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.

107 : 1, 107

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,756,984,408, is 1.

Now, the common factors can be found like this.

107:107

756:2x 2x 3x 3x 3x 7

984:2x 2x 2x 3x 41

408:2x 2x 2x 3x 17

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 32475873024/(1x288)

LCM = 32475873024/288

LCM = 112763448

Thus, we can understand that the LCM of 107,756,984,408 is 112763448.

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

• LCM of 745, 626, 854, 637
• LCM of 769, 389, 466, 260
• LCM of 174, 796, 159, 182
• LCM of 651, 891, 508, 328
• LCM of 381, 903, 176, 966

1. What is the LCM of 107, 756, 984, 408?

Answer: LCM of 107, 756, 984, 408 is 112763448.

2. How to calculate the LCM of 107, 756, 984, 408?

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 107, 756, 984, 408.

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}.