Given numbers are 800,771,462,866,493

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

The LCM of 800,771,462,866,493 is 10138411298400.

Find LCM of 800,771,462,866,493 with Prime Factorization

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

2 x 3 x 400 x 257 x 77 x 433 x 493 = 10138411298400

Therefore, the lowest common multiple of 800,771,462,866,493 is 10138411298400.

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.

800 x 771 x 462 x 866 x 493 = 121660935580800

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

771 : 1, 3, 257, 771

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

866 : 1, 2, 433, 866

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,771,462,866,493, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

771:3x 257

462:2x 3x 7x 11

866:2x 433

493:17x 29

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 3 = 12

Therefore, the value for common factors is 12.

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 = 121660935580800/(1x12)

LCM = 121660935580800/12

LCM = 10138411298400

Thus, we can understand that the LCM of 800,771,462,866,493 is 10138411298400.

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

• LCM of 749, 983, 733, 354, 393
• LCM of 535, 680, 934, 137, 799
• LCM of 857, 664, 643, 340, 144
• LCM of 511, 939, 828, 803, 749
• LCM of 675, 657, 794, 893, 183

1. What is the LCM of 800, 771, 462, 866, 493?

Answer: LCM of 800, 771, 462, 866, 493 is 10138411298400.

2. How to calculate the LCM of 800, 771, 462, 866, 493?

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 800, 771, 462, 866, 493.

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}.