Given numbers are 872,770,305,976,414

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

The LCM of 872,770,305,976,414 is 8478272880.

Find LCM of 872,770,305,976,414 with Prime Factorization

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

2 x 2 x 2 x 5 x 61 x 109 x 77 x 1 x 2 x 207 = 8478272880

Therefore, the lowest common multiple of 872,770,305,976,414 is 8478272880.

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.

872 x 770 x 305 x 976 x 414 = 82747943308800

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

305 : 1, 5, 61, 305

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,770,305,976,414, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

770:2x 5x 7x 11

305:5x 61

976:2x 2x 2x 2x 61

414:2x 3x 3x 23

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 2x 2x 5x 61 = 9760

Therefore, the value for common factors is 9760.

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 = 82747943308800/(1x9760)

LCM = 82747943308800/9760

LCM = 8478272880

Thus, we can understand that the LCM of 872,770,305,976,414 is 8478272880.

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

• LCM of 806, 176, 621, 878, 379
• LCM of 770, 955, 224, 632, 328
• LCM of 445, 330, 153, 342, 183
• LCM of 207, 497, 604, 967, 818
• LCM of 755, 861, 834, 590, 303

1. What is the LCM of 872, 770, 305, 976, 414?

Answer: LCM of 872, 770, 305, 976, 414 is 8478272880.

2. How to calculate the LCM of 872, 770, 305, 976, 414?

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 872, 770, 305, 976, 414.

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}.