Given numbers are 878,214,361

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

The LCM of 878,214,361 is 33914506.

Find LCM of 878,214,361 with Prime Factorization

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

2 x 439 x 107 x 361 = 33914506

Therefore, the lowest common multiple of 878,214,361 is 33914506.

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.

878 x 214 x 361 = 67829012

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.

878 : 1, 2, 439, 878

214 : 1, 2, 107, 214

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,214,361, is 1.

Now, the common factors can be found like this.

878:2x 439

214:2x 107

361:19x 19

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 = 67829012/(1x2)

LCM = 67829012/2

LCM = 33914506

Thus, we can understand that the LCM of 878,214,361 is 33914506.

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

• LCM of 968, 354, 984
• LCM of 731, 151, 952
• LCM of 277, 805, 910
• LCM of 584, 561, 840
• LCM of 103, 656, 698

1. What is the LCM of 878, 214, 361?

Answer: LCM of 878, 214, 361 is 33914506.

2. How to calculate the LCM of 878, 214, 361?

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 878, 214, 361.

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}.