Given numbers are 311,523,171,912

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

The LCM of 311,523,171,912 is 445018608.

Find LCM of 311,523,171,912 with Prime Factorization

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

3 x 19 x 311 x 523 x 3 x 16 = 445018608

Therefore, the lowest common multiple of 311,523,171,912 is 445018608.

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 523 x 171 x 912 = 25366060656

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

523 : 1, 523

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,523,171,912, is 1.

Now, the common factors can be found like this.

311:311

523:523

171:3x 3x 19

912:2x 2x 2x 2x 3x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 25366060656/(1x57)

LCM = 25366060656/57

LCM = 445018608

Thus, we can understand that the LCM of 311,523,171,912 is 445018608.

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

• LCM of 508, 765, 303, 345
• LCM of 807, 356, 253, 487
• LCM of 286, 333, 178, 619
• LCM of 546, 713, 288, 718
• LCM of 637, 606, 604, 595

1. What is the LCM of 311, 523, 171, 912?

Answer: LCM of 311, 523, 171, 912 is 445018608.

2. How to calculate the LCM of 311, 523, 171, 912?

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, 523, 171, 912.

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}.