Given numbers are 676,206,138,814

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

The LCM of 676,206,138,814 is 1955363124.

Find LCM of 676,206,138,814 with Prime Factorization

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

2 x 338 x 103 x 69 x 407 = 1955363124

Therefore, the lowest common multiple of 676,206,138,814 is 1955363124.

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 206 x 138 x 814 = 15642904992

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

206 : 1, 2, 103, 206

138 : 1, 2, 3, 6, 23, 46, 69, 138

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,206,138,814, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

206:2x 103

138:2x 3x 23

814:2x 11x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15642904992/(2x4)

LCM = 15642904992/8

LCM = 1955363124

Thus, we can understand that the LCM of 676,206,138,814 is 1955363124.

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

• LCM of 535, 291, 300, 316
• LCM of 161, 969, 279, 853
• LCM of 812, 727, 661, 399
• LCM of 905, 720, 271, 722
• LCM of 139, 276, 107, 177

1. What is the LCM of 676, 206, 138, 814?

Answer: LCM of 676, 206, 138, 814 is 1955363124.

2. How to calculate the LCM of 676, 206, 138, 814?

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, 206, 138, 814.

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}.