Given numbers are 821,676,122,814

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

The LCM of 821,676,122,814 is 13778885692.

Find LCM of 821,676,122,814 with Prime Factorization

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

2 x 821 x 338 x 61 x 407 = 13778885692

Therefore, the lowest common multiple of 821,676,122,814 is 13778885692.

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.

821 x 676 x 122 x 814 = 55115542768

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.

821 : 1, 821

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

122 : 1, 2, 61, 122

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,676,122,814, is 1.

Now, the common factors can be found like this.

821:821

676:2x 2x 13x 13

122:2x 61

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 = 55115542768/(1x4)

LCM = 55115542768/4

LCM = 13778885692

Thus, we can understand that the LCM of 821,676,122,814 is 13778885692.

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

• LCM of 706, 288, 661, 936
• LCM of 189, 492, 279, 617
• LCM of 766, 751, 200, 802
• LCM of 930, 610, 517, 572
• LCM of 316, 429, 674, 341

1. What is the LCM of 821, 676, 122, 814?

Answer: LCM of 821, 676, 122, 814 is 13778885692.

2. How to calculate the LCM of 821, 676, 122, 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 821, 676, 122, 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}.