Given numbers are 794,102,580,408,966

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

The LCM of 794,102,580,408,966 is 3781329720.

Find LCM of 794,102,580,408,966 with Prime Factorization

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

2 x 2 x 3 x 17 x 397 x 1 x 145 x 2 x 161 = 3781329720

Therefore, the lowest common multiple of 794,102,580,408,966 is 3781329720.

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.

794 x 102 x 580 x 408 x 966 = 18513390309120

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.

794 : 1, 2, 397, 794

102 : 1, 2, 3, 6, 17, 34, 51, 102

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,102,580,408,966, is 2.

Now, the common factors can be found like this.

794:2x 397

102:2x 3x 17

580:2x 2x 5x 29

408:2x 2x 2x 3x 17

966:2x 3x 7x 23

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 17 = 2448

Therefore, the value for common factors is 2448.

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 = 18513390309120/(2x2448)

LCM = 18513390309120/4896

LCM = 3781329720

Thus, we can understand that the LCM of 794,102,580,408,966 is 3781329720.

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

• LCM of 540, 966, 512, 318, 233
• LCM of 656, 667, 370, 407, 235
• LCM of 440, 442, 333, 523, 919
• LCM of 989, 172, 628, 111, 579
• LCM of 228, 850, 547, 800, 282

1. What is the LCM of 794, 102, 580, 408, 966?

Answer: LCM of 794, 102, 580, 408, 966 is 3781329720.

2. How to calculate the LCM of 794, 102, 580, 408, 966?

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 794, 102, 580, 408, 966.

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}.