Given numbers are 311,528,374,880

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

The LCM of 311,528,374,880 is 13957680.

Find LCM of 311,528,374,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 311 x 3 x 17 x 5 = 13957680

Therefore, the lowest common multiple of 311,528,374,880 is 13957680.

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 528 x 374 x 880 = 54044136960

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

374 : 1, 2, 11, 17, 22, 34, 187, 374

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,528,374,880, is 1.

Now, the common factors can be found like this.

311:311

528:2x 2x 2x 2x 3x 11

374:2x 11x 17

880:2x 2x 2x 2x 5x 11

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 2x 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 54044136960/(1x3872)

LCM = 54044136960/3872

LCM = 13957680

Thus, we can understand that the LCM of 311,528,374,880 is 13957680.

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

• LCM of 763, 301, 172, 370
• LCM of 863, 699, 742, 549
• LCM of 999, 823, 230, 165
• LCM of 995, 579, 622, 741
• LCM of 237, 125, 766, 588

1. What is the LCM of 311, 528, 374, 880?

Answer: LCM of 311, 528, 374, 880 is 13957680.

2. How to calculate the LCM of 311, 528, 374, 880?

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, 528, 374, 880.

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}.