Given numbers are 209,517,348,338

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

The LCM of 209,517,348,338 is 577710276.

Find LCM of 209,517,348,338 with Prime Factorization

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

2 x 11 x 19 x 47 x 174 x 169 = 577710276

Therefore, the lowest common multiple of 209,517,348,338 is 577710276.

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.

209 x 517 x 348 x 338 = 12709626072

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.

209 : 1, 11, 19, 209

517 : 1, 11, 47, 517

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,517,348,338, is 1.

Now, the common factors can be found like this.

209:11x 19

517:11x 47

348:2x 2x 3x 29

338:2x 13x 13

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 12709626072/(1x22)

LCM = 12709626072/22

LCM = 577710276

Thus, we can understand that the LCM of 209,517,348,338 is 577710276.

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

• LCM of 294, 952, 169, 945
• LCM of 894, 664, 831, 762
• LCM of 864, 649, 479, 600
• LCM of 802, 386, 549, 679
• LCM of 500, 213, 425, 350

1. What is the LCM of 209, 517, 348, 338?

Answer: LCM of 209, 517, 348, 338 is 577710276.

2. How to calculate the LCM of 209, 517, 348, 338?

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 209, 517, 348, 338.

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}.