Given numbers are 777,485,380,810,642

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

The LCM of 777,485,380,810,642 is 82741595580.

Find LCM of 777,485,380,810,642 with Prime Factorization

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

2 x 3 x 5 x 259 x 97 x 38 x 27 x 107 = 82741595580

Therefore, the lowest common multiple of 777,485,380,810,642 is 82741595580.

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.

777 x 485 x 380 x 810 x 642 = 74467436022000

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

485 : 1, 5, 97, 485

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,485,380,810,642, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

485:5x 97

380:2x 2x 5x 19

810:2x 3x 3x 3x 3x 5

642:2x 3x 107

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 74467436022000/(1x900)

LCM = 74467436022000/900

LCM = 82741595580

Thus, we can understand that the LCM of 777,485,380,810,642 is 82741595580.

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

• LCM of 568, 631, 103, 922, 315
• LCM of 800, 159, 280, 550, 865
• LCM of 983, 248, 447, 931, 933
• LCM of 227, 362, 508, 670, 113
• LCM of 836, 106, 386, 640, 150

1. What is the LCM of 777, 485, 380, 810, 642?

Answer: LCM of 777, 485, 380, 810, 642 is 82741595580.

2. How to calculate the LCM of 777, 485, 380, 810, 642?

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 777, 485, 380, 810, 642.

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}.