Given numbers are 486,676,578,762,677

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

The LCM of 486,676,578,762,677 is 4081719929508.

Find LCM of 486,676,578,762,677 with Prime Factorization

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

2 x 3 x 81 x 338 x 289 x 127 x 677 = 4081719929508

Therefore, the lowest common multiple of 486,676,578,762,677 is 4081719929508.

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.

486 x 676 x 578 x 762 x 677 = 97961278308192

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,676,578,762,677, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

676:2x 2x 13x 13

578:2x 17x 17

762:2x 3x 127

677:677

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 = 97961278308192/(1x24)

LCM = 97961278308192/24

LCM = 4081719929508

Thus, we can understand that the LCM of 486,676,578,762,677 is 4081719929508.

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

• LCM of 230, 561, 898, 283, 693
• LCM of 859, 721, 413, 536, 843
• LCM of 980, 262, 419, 571, 990
• LCM of 372, 428, 324, 667, 344
• LCM of 555, 891, 448, 388, 939

1. What is the LCM of 486, 676, 578, 762, 677?

Answer: LCM of 486, 676, 578, 762, 677 is 4081719929508.

2. How to calculate the LCM of 486, 676, 578, 762, 677?

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 486, 676, 578, 762, 677.

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}.