Given numbers are 676,684,804,990

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

The LCM of 676,684,804,990 is 425971260.

Find LCM of 676,684,804,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 169 x 19 x 67 x 55 = 425971260

Therefore, the lowest common multiple of 676,684,804,990 is 425971260.

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.

676 x 684 x 804 x 990 = 368039168640

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,684,804,990, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

684:2x 2x 3x 3x 19

804:2x 2x 3x 67

990:2x 3x 3x 5x 11

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 = 368039168640/(2x432)

LCM = 368039168640/864

LCM = 425971260

Thus, we can understand that the LCM of 676,684,804,990 is 425971260.

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

• LCM of 758, 946, 203, 789
• LCM of 288, 199, 323, 986
• LCM of 205, 365, 181, 206
• LCM of 765, 779, 369, 399
• LCM of 932, 862, 690, 103

1. What is the LCM of 676, 684, 804, 990?

Answer: LCM of 676, 684, 804, 990 is 425971260.

2. How to calculate the LCM of 676, 684, 804, 990?

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 676, 684, 804, 990.

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}.