Given numbers are 780,961,642,825,491

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

The LCM of 780,961,642,825,491 is 2165937645300.

Find LCM of 780,961,642,825,491 with Prime Factorization

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

2 x 3 x 5 x 26 x 961 x 107 x 55 x 491 = 2165937645300

Therefore, the lowest common multiple of 780,961,642,825,491 is 2165937645300.

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.

780 x 961 x 642 x 825 x 491 = 194934388077000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

961 : 1, 31, 961

642 : 1, 2, 3, 6, 107, 214, 321, 642

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,961,642,825,491, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

961:31x 31

642:2x 3x 107

825:3x 5x 5x 11

491:491

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 194934388077000/(1x90)

LCM = 194934388077000/90

LCM = 2165937645300

Thus, we can understand that the LCM of 780,961,642,825,491 is 2165937645300.

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

• LCM of 661, 960, 966, 122, 626
• LCM of 632, 579, 511, 888, 572
• LCM of 762, 566, 447, 935, 857
• LCM of 842, 339, 511, 726, 414
• LCM of 182, 237, 650, 950, 858

1. What is the LCM of 780, 961, 642, 825, 491?

Answer: LCM of 780, 961, 642, 825, 491 is 2165937645300.

2. How to calculate the LCM of 780, 961, 642, 825, 491?

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 780, 961, 642, 825, 491.

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}.