Given numbers are 398,214,214

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

The LCM of 398,214,214 is 42586.

Find LCM of 398,214,214 with Prime Factorization

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

2 x 107 x 199 x 1 x 1 = 42586

Therefore, the lowest common multiple of 398,214,214 is 42586.

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.

398 x 214 x 214 = 18226808

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.

398 : 1, 2, 199, 398

214 : 1, 2, 107, 214

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,214,214, is 2.

Now, the common factors can be found like this.

398:2x 199

214:2x 107

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 107 = 214

Therefore, the value for common factors is 214.

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 = 18226808/(2x214)

LCM = 18226808/428

LCM = 42586

Thus, we can understand that the LCM of 398,214,214 is 42586.

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

• LCM of 195, 135, 922
• LCM of 640, 649, 831
• LCM of 516, 257, 258
• LCM of 245, 141, 861
• LCM of 868, 803, 424

1. What is the LCM of 398, 214, 214?

Answer: LCM of 398, 214, 214 is 42586.

2. How to calculate the LCM of 398, 214, 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 398, 214, 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}.