Given numbers are 205,171,239,589,349

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

The LCM of 205,171,239,589,349 is 90643150755.

Find LCM of 205,171,239,589,349 with Prime Factorization

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

19 x 205 x 9 x 239 x 31 x 349 = 90643150755

Therefore, the lowest common multiple of 205,171,239,589,349 is 90643150755.

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.

205 x 171 x 239 x 589 x 349 = 1722219864345

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.

205 : 1, 5, 41, 205

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

239 : 1, 239

589 : 1, 19, 31, 589

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,171,239,589,349, is 1.

Now, the common factors can be found like this.

205:5x 41

171:3x 3x 19

239:239

589:19x 31

349:349

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 = 1722219864345/(1x19)

LCM = 1722219864345/19

LCM = 90643150755

Thus, we can understand that the LCM of 205,171,239,589,349 is 90643150755.

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

• LCM of 503, 354, 725, 227, 664
• LCM of 120, 390, 258, 453, 476
• LCM of 272, 478, 134, 487, 885
• LCM of 708, 156, 250, 449, 782
• LCM of 386, 795, 313, 999, 889

1. What is the LCM of 205, 171, 239, 589, 349?

Answer: LCM of 205, 171, 239, 589, 349 is 90643150755.

2. How to calculate the LCM of 205, 171, 239, 589, 349?

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 205, 171, 239, 589, 349.

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}.