Given numbers are 204,208,364,929

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

The LCM of 204,208,364,929 is 68983824.

Find LCM of 204,208,364,929 with Prime Factorization

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

2 x 2 x 13 x 51 x 4 x 7 x 929 = 68983824

Therefore, the lowest common multiple of 204,208,364,929 is 68983824.

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.

204 x 208 x 364 x 929 = 14348635392

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,208,364,929, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

208:2x 2x 2x 2x 13

364:2x 2x 7x 13

929:929

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

2x 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 14348635392/(1x208)

LCM = 14348635392/208

LCM = 68983824

Thus, we can understand that the LCM of 204,208,364,929 is 68983824.

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

• LCM of 173, 781, 394, 147
• LCM of 350, 815, 765, 567
• LCM of 352, 589, 798, 242
• LCM of 502, 996, 590, 536
• LCM of 225, 512, 874, 696

1. What is the LCM of 204, 208, 364, 929?

Answer: LCM of 204, 208, 364, 929 is 68983824.

2. How to calculate the LCM of 204, 208, 364, 929?

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 204, 208, 364, 929.

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}.