Given numbers are 311,476,309,712

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

The LCM of 311,476,309,712 is 8142276072.

Find LCM of 311,476,309,712 with Prime Factorization

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

2 x 2 x 311 x 119 x 309 x 178 = 8142276072

Therefore, the lowest common multiple of 311,476,309,712 is 8142276072.

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 476 x 309 x 712 = 32569104288

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

309 : 1, 3, 103, 309

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,476,309,712, is 1.

Now, the common factors can be found like this.

311:311

476:2x 2x 7x 17

309:3x 103

712:2x 2x 2x 89

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 32569104288/(1x4)

LCM = 32569104288/4

LCM = 8142276072

Thus, we can understand that the LCM of 311,476,309,712 is 8142276072.

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

• LCM of 297, 987, 244, 427
• LCM of 106, 108, 445, 972
• LCM of 347, 834, 123, 784
• LCM of 428, 406, 757, 444
• LCM of 507, 764, 205, 182

1. What is the LCM of 311, 476, 309, 712?

Answer: LCM of 311, 476, 309, 712 is 8142276072.

2. How to calculate the LCM of 311, 476, 309, 712?

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, 476, 309, 712.

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}.