Given numbers are 789,756,914,303

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

The LCM of 789,756,914,303 is 9177303996.

Find LCM of 789,756,914,303 with Prime Factorization

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

2 x 3 x 263 x 126 x 457 x 101 = 9177303996

Therefore, the lowest common multiple of 789,756,914,303 is 9177303996.

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 756 x 914 x 303 = 165191471928

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

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

914 : 1, 2, 457, 914

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,756,914,303, is 1.

Now, the common factors can be found like this.

789:3x 263

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

914:2x 457

303:3x 101

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 165191471928/(1x18)

LCM = 165191471928/18

LCM = 9177303996

Thus, we can understand that the LCM of 789,756,914,303 is 9177303996.

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

• LCM of 768, 638, 702, 264
• LCM of 908, 575, 933, 509
• LCM of 122, 478, 708, 721
• LCM of 568, 653, 954, 345
• LCM of 432, 887, 905, 149

1. What is the LCM of 789, 756, 914, 303?

Answer: LCM of 789, 756, 914, 303 is 9177303996.

2. How to calculate the LCM of 789, 756, 914, 303?

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, 756, 914, 303.

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}.