Given numbers are 311,891,483,552,753

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

The LCM of 311,891,483,552,753 is 89583428088.

Find LCM of 311,891,483,552,753 with Prime Factorization

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

3 x 23 x 311 x 297 x 7 x 8 x 251 = 89583428088

Therefore, the lowest common multiple of 311,891,483,552,753 is 89583428088.

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 891 x 483 x 552 x 753 = 55631308842648

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

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

483 : 1, 3, 7, 21, 23, 69, 161, 483

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,891,483,552,753, is 1.

Now, the common factors can be found like this.

311:311

891:3x 3x 3x 3x 11

483:3x 7x 23

552:2x 2x 2x 3x 23

753:3x 251

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

3x 3x 3x 23 = 621

Therefore, the value for common factors is 621.

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 = 55631308842648/(1x621)

LCM = 55631308842648/621

LCM = 89583428088

Thus, we can understand that the LCM of 311,891,483,552,753 is 89583428088.

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

• LCM of 398, 583, 621, 751, 105
• LCM of 710, 185, 620, 887, 333
• LCM of 672, 741, 331, 691, 659
• LCM of 916, 345, 522, 579, 717
• LCM of 485, 550, 152, 271, 296

1. What is the LCM of 311, 891, 483, 552, 753?

Answer: LCM of 311, 891, 483, 552, 753 is 89583428088.

2. How to calculate the LCM of 311, 891, 483, 552, 753?

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, 891, 483, 552, 753.

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}.