Given numbers are 875,836,770,822,408

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

The LCM of 875,836,770,822,408 is 10221981000.

Find LCM of 875,836,770,822,408 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 11 x 25 x 19 x 1 x 137 x 34 = 10221981000

Therefore, the lowest common multiple of 875,836,770,822,408 is 10221981000.

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.

875 x 836 x 770 x 822 x 408 = 188902208880000

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.

875 : 1, 5, 7, 25, 35, 125, 175, 875

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

822 : 1, 2, 3, 6, 137, 274, 411, 822

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,836,770,822,408, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

836:2x 2x 11x 19

770:2x 5x 7x 11

822:2x 3x 137

408:2x 2x 2x 3x 17

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 3x 5x 7x 11 = 18480

Therefore, the value for common factors is 18480.

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 = 188902208880000/(1x18480)

LCM = 188902208880000/18480

LCM = 10221981000

Thus, we can understand that the LCM of 875,836,770,822,408 is 10221981000.

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

• LCM of 946, 959, 100, 746, 111
• LCM of 481, 463, 354, 417, 266
• LCM of 512, 296, 705, 303, 162
• LCM of 868, 495, 722, 535, 231
• LCM of 424, 882, 525, 601, 948

1. What is the LCM of 875, 836, 770, 822, 408?

Answer: LCM of 875, 836, 770, 822, 408 is 10221981000.

2. How to calculate the LCM of 875, 836, 770, 822, 408?

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 875, 836, 770, 822, 408.

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}.