Given numbers are 311,481,756,439,771

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

The LCM of 311,481,756,439,771 is 12759242877108.

Find LCM of 311,481,756,439,771 with Prime Factorization

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

3 x 311 x 481 x 252 x 439 x 257 = 12759242877108

Therefore, the lowest common multiple of 311,481,756,439,771 is 12759242877108.

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.

311 x 481 x 756 x 439 x 771 = 38277728631324

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.

311 : 1, 311

481 : 1, 13, 37, 481

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

439 : 1, 439

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,481,756,439,771, is 1.

Now, the common factors can be found like this.

311:311

481:13x 37

756:2x 2x 3x 3x 3x 7

439:439

771:3x 257

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

3 = 3

Therefore, the value for common factors is 3.

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 = 38277728631324/(1x3)

LCM = 38277728631324/3

LCM = 12759242877108

Thus, we can understand that the LCM of 311,481,756,439,771 is 12759242877108.

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

• LCM of 612, 423, 618, 685, 209
• LCM of 637, 952, 491, 101, 830
• LCM of 454, 969, 895, 781, 484
• LCM of 263, 699, 968, 281, 352
• LCM of 480, 788, 596, 620, 789

1. What is the LCM of 311, 481, 756, 439, 771?

Answer: LCM of 311, 481, 756, 439, 771 is 12759242877108.

2. How to calculate the LCM of 311, 481, 756, 439, 771?

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 311, 481, 756, 439, 771.

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}.