Given numbers are 852,205,814

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

The LCM of 852,205,814 is 71086620.

Find LCM of 852,205,814 with Prime Factorization

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

2 x 426 x 205 x 407 = 71086620

Therefore, the lowest common multiple of 852,205,814 is 71086620.

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.

852 x 205 x 814 = 142173240

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

205 : 1, 5, 41, 205

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 852,205,814, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

205:5x 41

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.

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 = 142173240/(1x2)

LCM = 142173240/2

LCM = 71086620

Thus, we can understand that the LCM of 852,205,814 is 71086620.

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

• LCM of 643, 569, 148
• LCM of 472, 338, 332
• LCM of 828, 101, 558
• LCM of 161, 632, 961
• LCM of 696, 372, 691

1. What is the LCM of 852, 205, 814?

Answer: LCM of 852, 205, 814 is 71086620.

2. How to calculate the LCM of 852, 205, 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 852, 205, 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}.