Given numbers are 538,816,276,225,194

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

The LCM of 538,816,276,225,194 is 36728506800.

Find LCM of 538,816,276,225,194 with Prime Factorization

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

2 x 2 x 3 x 269 x 68 x 23 x 75 x 97 = 36728506800

Therefore, the lowest common multiple of 538,816,276,225,194 is 36728506800.

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.

538 x 816 x 276 x 225 x 194 = 5288904979200

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.

538 : 1, 2, 269, 538

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,816,276,225,194, is 1.

Now, the common factors can be found like this.

538:2x 269

816:2x 2x 2x 2x 3x 17

276:2x 2x 3x 23

225:3x 3x 5x 5

194:2x 97

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 5288904979200/(1x144)

LCM = 5288904979200/144

LCM = 36728506800

Thus, we can understand that the LCM of 538,816,276,225,194 is 36728506800.

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

• LCM of 570, 300, 164, 574, 616
• LCM of 317, 857, 920, 122, 737
• LCM of 691, 761, 813, 374, 907
• LCM of 856, 756, 222, 323, 225
• LCM of 162, 795, 479, 276, 378

1. What is the LCM of 538, 816, 276, 225, 194?

Answer: LCM of 538, 816, 276, 225, 194 is 36728506800.

2. How to calculate the LCM of 538, 816, 276, 225, 194?

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 538, 816, 276, 225, 194.

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}.