Given numbers are 396,209,341

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

The LCM of 396,209,341 is 233244.

Find LCM of 396,209,341 with Prime Factorization

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

11 x 36 x 19 x 31 = 233244

Therefore, the lowest common multiple of 396,209,341 is 233244.

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.

396 x 209 x 341 = 28222524

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

209 : 1, 11, 19, 209

341 : 1, 11, 31, 341

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,209,341, is 11.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

209:11x 19

341:11x 31

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

11 = 11

Therefore, the value for common factors is 11.

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 = 28222524/(11x11)

LCM = 28222524/121

LCM = 233244

Thus, we can understand that the LCM of 396,209,341 is 233244.

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

• LCM of 466, 837, 185
• LCM of 842, 659, 575
• LCM of 951, 215, 351
• LCM of 838, 270, 922
• LCM of 731, 698, 978

1. What is the LCM of 396, 209, 341?

Answer: LCM of 396, 209, 341 is 233244.

2. How to calculate the LCM of 396, 209, 341?

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 396, 209, 341.

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}.