Given numbers are 422,614,504,311

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

The LCM of 422,614,504,311 is 10153406088.

Find LCM of 422,614,504,311 with Prime Factorization

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

2 x 211 x 307 x 252 x 311 = 10153406088

Therefore, the lowest common multiple of 422,614,504,311 is 10153406088.

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.

422 x 614 x 504 x 311 = 40613624352

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.

422 : 1, 2, 211, 422

614 : 1, 2, 307, 614

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,614,504,311, is 1.

Now, the common factors can be found like this.

422:2x 211

614:2x 307

504:2x 2x 2x 3x 3x 7

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 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 = 40613624352/(1x4)

LCM = 40613624352/4

LCM = 10153406088

Thus, we can understand that the LCM of 422,614,504,311 is 10153406088.

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

• LCM of 177, 877, 131, 593
• LCM of 631, 384, 946, 546
• LCM of 112, 620, 760, 564
• LCM of 620, 783, 843, 758
• LCM of 639, 375, 526, 130

1. What is the LCM of 422, 614, 504, 311?

Answer: LCM of 422, 614, 504, 311 is 10153406088.

2. How to calculate the LCM of 422, 614, 504, 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 422, 614, 504, 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}.