Given numbers are 538,209,382

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

The LCM of 538,209,382 is 21476422.

Find LCM of 538,209,382 with Prime Factorization

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

2 x 269 x 209 x 191 = 21476422

Therefore, the lowest common multiple of 538,209,382 is 21476422.

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.

538 x 209 x 382 = 42952844

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.

538 : 1, 2, 269, 538

209 : 1, 11, 19, 209

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,209,382, is 1.

Now, the common factors can be found like this.

538:2x 269

209:11x 19

382:2x 191

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

2 = 2

Therefore, the value for common factors is 2.

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 = 42952844/(1x2)

LCM = 42952844/2

LCM = 21476422

Thus, we can understand that the LCM of 538,209,382 is 21476422.

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

• LCM of 636, 466, 566
• LCM of 821, 805, 750
• LCM of 219, 718, 411
• LCM of 227, 338, 473
• LCM of 305, 179, 629

1. What is the LCM of 538, 209, 382?

Answer: LCM of 538, 209, 382 is 21476422.

2. How to calculate the LCM of 538, 209, 382?

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 538, 209, 382.

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}.