Given numbers are 676,207,810,990

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

The LCM of 676,207,810,990 is 69266340.

Find LCM of 676,207,810,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 338 x 23 x 9 x 11 = 69266340

Therefore, the lowest common multiple of 676,207,810,990 is 69266340.

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 207 x 810 x 990 = 112211470800

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

207 : 1, 3, 9, 23, 69, 207

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,207,810,990, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

207:3x 3x 23

810:2x 3x 3x 3x 3x 5

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 3x 3x 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 112211470800/(1x1620)

LCM = 112211470800/1620

LCM = 69266340

Thus, we can understand that the LCM of 676,207,810,990 is 69266340.

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

• LCM of 175, 998, 784, 306
• LCM of 647, 636, 412, 609
• LCM of 259, 242, 587, 151
• LCM of 621, 574, 212, 545
• LCM of 780, 985, 521, 273

1. What is the LCM of 676, 207, 810, 990?

Answer: LCM of 676, 207, 810, 990 is 69266340.

2. How to calculate the LCM of 676, 207, 810, 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, 207, 810, 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}.