Given numbers are 398,191,209,323

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

The LCM of 398,191,209,323 is 270091954.

Find LCM of 398,191,209,323 with Prime Factorization

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

19 x 398 x 191 x 11 x 17 = 270091954

Therefore, the lowest common multiple of 398,191,209,323 is 270091954.

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 191 x 209 x 323 = 5131747126

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

191 : 1, 191

209 : 1, 11, 19, 209

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,191,209,323, is 1.

Now, the common factors can be found like this.

398:2x 199

191:191

209:11x 19

323:17x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 5131747126/(1x19)

LCM = 5131747126/19

LCM = 270091954

Thus, we can understand that the LCM of 398,191,209,323 is 270091954.

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

• LCM of 677, 770, 173, 709
• LCM of 548, 380, 358, 739
• LCM of 905, 728, 179, 470
• LCM of 322, 387, 797, 400
• LCM of 604, 852, 853, 884

1. What is the LCM of 398, 191, 209, 323?

Answer: LCM of 398, 191, 209, 323 is 270091954.

2. How to calculate the LCM of 398, 191, 209, 323?

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, 191, 209, 323.

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}.