Given numbers are 321,214,199

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

The LCM of 321,214,199 is 127758.

Find LCM of 321,214,199 with Prime Factorization

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

107 x 3 x 2 x 199 = 127758

Therefore, the lowest common multiple of 321,214,199 is 127758.

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.

321 x 214 x 199 = 13670106

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.

321 : 1, 3, 107, 321

214 : 1, 2, 107, 214

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,214,199, is 1.

Now, the common factors can be found like this.

321:3x 107

214:2x 107

199:199

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

107 = 107

Therefore, the value for common factors is 107.

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 = 13670106/(1x107)

LCM = 13670106/107

LCM = 127758

Thus, we can understand that the LCM of 321,214,199 is 127758.

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

• LCM of 656, 500, 967
• LCM of 910, 496, 351
• LCM of 884, 453, 205
• LCM of 960, 741, 811
• LCM of 536, 870, 219

1. What is the LCM of 321, 214, 199?

Answer: LCM of 321, 214, 199 is 127758.

2. How to calculate the LCM of 321, 214, 199?

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 321, 214, 199.

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}.