Given numbers are 311,518,622,540,381

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

The LCM of 311,518,622,540,381 is 5524050420.

Find LCM of 311,518,622,540,381 with Prime Factorization

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

2 x 3 x 311 x 1 x 259 x 1 x 90 x 127 = 5524050420

Therefore, the lowest common multiple of 311,518,622,540,381 is 5524050420.

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 518 x 622 x 540 x 381 = 20615756167440

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

622 : 1, 2, 311, 622

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,518,622,540,381, is 1.

Now, the common factors can be found like this.

311:311

518:2x 7x 37

622:2x 311

540:2x 2x 3x 3x 3x 5

381:3x 127

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 3x 311 = 3732

Therefore, the value for common factors is 3732.

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 = 20615756167440/(1x3732)

LCM = 20615756167440/3732

LCM = 5524050420

Thus, we can understand that the LCM of 311,518,622,540,381 is 5524050420.

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

• LCM of 820, 754, 731, 934, 221
• LCM of 141, 480, 947, 920, 418
• LCM of 171, 934, 112, 845, 119
• LCM of 711, 971, 961, 243, 157
• LCM of 624, 701, 385, 241, 693

1. What is the LCM of 311, 518, 622, 540, 381?

Answer: LCM of 311, 518, 622, 540, 381 is 5524050420.

2. How to calculate the LCM of 311, 518, 622, 540, 381?

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, 518, 622, 540, 381.

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}.