Given numbers are 412,928,214

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

The LCM of 412,928,214 is 10227488.

Find LCM of 412,928,214 with Prime Factorization

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

2 x 2 x 103 x 232 x 107 = 10227488

Therefore, the lowest common multiple of 412,928,214 is 10227488.

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.

412 x 928 x 214 = 81819904

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.

412 : 1, 2, 4, 103, 206, 412

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,928,214, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

928:2x 2x 2x 2x 2x 29

214:2x 107

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 = 81819904/(2x4)

LCM = 81819904/8

LCM = 10227488

Thus, we can understand that the LCM of 412,928,214 is 10227488.

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

• LCM of 584, 244, 338
• LCM of 774, 558, 925
• LCM of 559, 684, 352
• LCM of 305, 218, 194
• LCM of 493, 911, 195

1. What is the LCM of 412, 928, 214?

Answer: LCM of 412, 928, 214 is 10227488.

2. How to calculate the LCM of 412, 928, 214?

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 412, 928, 214.

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}.