Given numbers are 214,428,351,984,311

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

The LCM of 214,428,351,984,311 is 3831114456.

Find LCM of 214,428,351,984,311 with Prime Factorization

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

2 x 2 x 3 x 107 x 1 x 1 x 117 x 82 x 311 = 3831114456

Therefore, the lowest common multiple of 214,428,351,984,311 is 3831114456.

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.

214 x 428 x 351 x 984 x 311 = 9838301923008

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.

214 : 1, 2, 107, 214

428 : 1, 2, 4, 107, 214, 428

351 : 1, 3, 9, 13, 27, 39, 117, 351

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,428,351,984,311, is 1.

Now, the common factors can be found like this.

214:2x 107

428:2x 2x 107

351:3x 3x 3x 13

984:2x 2x 2x 3x 41

311:311

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 3x 107 = 2568

Therefore, the value for common factors is 2568.

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 = 9838301923008/(1x2568)

LCM = 9838301923008/2568

LCM = 3831114456

Thus, we can understand that the LCM of 214,428,351,984,311 is 3831114456.

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

• LCM of 176, 929, 401, 407, 996
• LCM of 747, 393, 237, 965, 314
• LCM of 978, 192, 935, 586, 104
• LCM of 797, 458, 723, 344, 976
• LCM of 169, 696, 793, 749, 397

1. What is the LCM of 214, 428, 351, 984, 311?

Answer: LCM of 214, 428, 351, 984, 311 is 3831114456.

2. How to calculate the LCM of 214, 428, 351, 984, 311?

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 214, 428, 351, 984, 311.

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}.