Given numbers are 311,766,672,578,990

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

The LCM of 311,766,672,578,990 is 3816895088160.

Find LCM of 311,766,672,578,990 with Prime Factorization

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

2 x 3 x 311 x 383 x 112 x 289 x 165 = 3816895088160

Therefore, the lowest common multiple of 311,766,672,578,990 is 3816895088160.

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 766 x 672 x 578 x 990 = 91605482115840

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

766 : 1, 2, 383, 766

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

578 : 1, 2, 17, 34, 289, 578

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,766,672,578,990, is 1.

Now, the common factors can be found like this.

311:311

766:2x 383

672:2x 2x 2x 2x 2x 3x 7

578:2x 17x 17

990:2x 3x 3x 5x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 91605482115840/(1x24)

LCM = 91605482115840/24

LCM = 3816895088160

Thus, we can understand that the LCM of 311,766,672,578,990 is 3816895088160.

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

• LCM of 899, 721, 834, 413, 354
• LCM of 930, 350, 222, 302, 956
• LCM of 139, 643, 924, 263, 483
• LCM of 880, 341, 522, 946, 172
• LCM of 308, 235, 654, 933, 383

1. What is the LCM of 311, 766, 672, 578, 990?

Answer: LCM of 311, 766, 672, 578, 990 is 3816895088160.

2. How to calculate the LCM of 311, 766, 672, 578, 990?

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, 766, 672, 578, 990.

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}.