Given numbers are 839,208,935,598,117

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

The LCM of 839,208,935,598,117 is 33775925040.

Find LCM of 839,208,935,598,117 with Prime Factorization

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

2 x 13 x 839 x 8 x 935 x 23 x 9 = 33775925040

Therefore, the lowest common multiple of 839,208,935,598,117 is 33775925040.

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.

839 x 208 x 935 x 598 x 117 = 11416262663520

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.

839 : 1, 839

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

935 : 1, 5, 11, 17, 55, 85, 187, 935

598 : 1, 2, 13, 23, 26, 46, 299, 598

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,208,935,598,117, is 1.

Now, the common factors can be found like this.

839:839

208:2x 2x 2x 2x 13

935:5x 11x 17

598:2x 13x 23

117:3x 3x 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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 11416262663520/(1x338)

LCM = 11416262663520/338

LCM = 33775925040

Thus, we can understand that the LCM of 839,208,935,598,117 is 33775925040.

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

• LCM of 493, 534, 189, 635, 975
• LCM of 241, 768, 168, 255, 505
• LCM of 705, 741, 140, 816, 929
• LCM of 632, 142, 825, 145, 944
• LCM of 148, 959, 519, 196, 756

1. What is the LCM of 839, 208, 935, 598, 117?

Answer: LCM of 839, 208, 935, 598, 117 is 33775925040.

2. How to calculate the LCM of 839, 208, 935, 598, 117?

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 839, 208, 935, 598, 117.

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}.