Given numbers are 338,171,418,371

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

The LCM of 338,171,418,371 is 235873638.

Find LCM of 338,171,418,371 with Prime Factorization

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

2 x 19 x 169 x 9 x 11 x 371 = 235873638

Therefore, the lowest common multiple of 338,171,418,371 is 235873638.

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.

338 x 171 x 418 x 371 = 8963198244

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.

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

171 : 1, 3, 9, 19, 57, 171

418 : 1, 2, 11, 19, 22, 38, 209, 418

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,171,418,371, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

171:3x 3x 19

418:2x 11x 19

371:7x 53

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 8963198244/(1x38)

LCM = 8963198244/38

LCM = 235873638

Thus, we can understand that the LCM of 338,171,418,371 is 235873638.

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

• LCM of 333, 964, 900, 667
• LCM of 857, 338, 233, 639
• LCM of 942, 517, 510, 621
• LCM of 756, 621, 301, 984
• LCM of 390, 853, 952, 435

1. What is the LCM of 338, 171, 418, 371?

Answer: LCM of 338, 171, 418, 371 is 235873638.

2. How to calculate the LCM of 338, 171, 418, 371?

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 338, 171, 418, 371.

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}.