Given numbers are 819,214,827,914

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

The LCM of 819,214,827,914 is 66239856774.

Find LCM of 819,214,827,914 with Prime Factorization

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

2 x 819 x 107 x 827 x 457 = 66239856774

Therefore, the lowest common multiple of 819,214,827,914 is 66239856774.

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.

819 x 214 x 827 x 914 = 132479713548

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

214 : 1, 2, 107, 214

827 : 1, 827

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,214,827,914, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

214:2x 107

827:827

914:2x 457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 132479713548/(1x2)

LCM = 132479713548/2

LCM = 66239856774

Thus, we can understand that the LCM of 819,214,827,914 is 66239856774.

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

• LCM of 360, 653, 434, 883
• LCM of 649, 588, 923, 503
• LCM of 904, 587, 632, 437
• LCM of 973, 727, 462, 863
• LCM of 590, 399, 534, 911

1. What is the LCM of 819, 214, 827, 914?

Answer: LCM of 819, 214, 827, 914 is 66239856774.

2. How to calculate the LCM of 819, 214, 827, 914?

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 819, 214, 827, 914.

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}.