Given numbers are 912,747,135,894,408

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

The LCM of 912,747,135,894,408 is 8628208560.

Find LCM of 912,747,135,894,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 38 x 83 x 15 x 149 x 17 = 8628208560

Therefore, the lowest common multiple of 912,747,135,894,408 is 8628208560.

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.

912 x 747 x 135 x 894 x 408 = 33546474881280

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

747 : 1, 3, 9, 83, 249, 747

135 : 1, 3, 5, 9, 15, 27, 45, 135

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,747,135,894,408, is 3.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

747:3x 3x 83

135:3x 3x 3x 5

894:2x 3x 149

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 33546474881280/(3x1296)

LCM = 33546474881280/3888

LCM = 8628208560

Thus, we can understand that the LCM of 912,747,135,894,408 is 8628208560.

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

• LCM of 711, 273, 782, 243, 486
• LCM of 802, 770, 285, 990, 848
• LCM of 597, 632, 302, 918, 741
• LCM of 791, 758, 171, 393, 427
• LCM of 119, 200, 974, 494, 266

1. What is the LCM of 912, 747, 135, 894, 408?

Answer: LCM of 912, 747, 135, 894, 408 is 8628208560.

2. How to calculate the LCM of 912, 747, 135, 894, 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 912, 747, 135, 894, 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}.