Given numbers are 996,789,372,426,614

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

The LCM of 996,789,372,426,614 is 177000097236.

Find LCM of 996,789,372,426,614 with Prime Factorization

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

2 x 2 x 3 x 83 x 263 x 31 x 71 x 307 = 177000097236

Therefore, the lowest common multiple of 996,789,372,426,614 is 177000097236.

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.

996 x 789 x 372 x 426 x 614 = 76464042005952

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

789 : 1, 3, 263, 789

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

426 : 1, 2, 3, 6, 71, 142, 213, 426

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,789,372,426,614, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

789:3x 263

372:2x 2x 3x 31

426:2x 3x 71

614:2x 307

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 3 = 432

Therefore, the value for common factors is 432.

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 = 76464042005952/(1x432)

LCM = 76464042005952/432

LCM = 177000097236

Thus, we can understand that the LCM of 996,789,372,426,614 is 177000097236.

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

• LCM of 206, 405, 788, 423, 183
• LCM of 132, 786, 895, 584, 365
• LCM of 292, 872, 305, 162, 777
• LCM of 111, 426, 374, 496, 709
• LCM of 648, 294, 683, 488, 309

1. What is the LCM of 996, 789, 372, 426, 614?

Answer: LCM of 996, 789, 372, 426, 614 is 177000097236.

2. How to calculate the LCM of 996, 789, 372, 426, 614?

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 996, 789, 372, 426, 614.

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}.