Given numbers are 789,114,584,305

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

The LCM of 789,114,584,305 is 2670196920.

Find LCM of 789,114,584,305 with Prime Factorization

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

2 x 3 x 263 x 19 x 292 x 305 = 2670196920

Therefore, the lowest common multiple of 789,114,584,305 is 2670196920.

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.

789 x 114 x 584 x 305 = 16021181520

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.

789 : 1, 3, 263, 789

114 : 1, 2, 3, 6, 19, 38, 57, 114

584 : 1, 2, 4, 8, 73, 146, 292, 584

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,114,584,305, is 1.

Now, the common factors can be found like this.

789:3x 263

114:2x 3x 19

584:2x 2x 2x 73

305:5x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 16021181520/(1x6)

LCM = 16021181520/6

LCM = 2670196920

Thus, we can understand that the LCM of 789,114,584,305 is 2670196920.

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

• LCM of 921, 658, 267, 678
• LCM of 934, 520, 742, 565
• LCM of 769, 762, 392, 435
• LCM of 813, 180, 662, 837
• LCM of 797, 995, 741, 399

1. What is the LCM of 789, 114, 584, 305?

Answer: LCM of 789, 114, 584, 305 is 2670196920.

2. How to calculate the LCM of 789, 114, 584, 305?

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 789, 114, 584, 305.

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}.