LCM of 822, 928, 608, 418, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 928, 608, 418, 925 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 822, 928, 608, 418, 925. So, keep reading to learn more.
Given numbers are 822,928,608,418,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,928,608,418,925 is 73735701600.
Find LCM of 822,928,608,418,925 with Prime Factorization
| 2 | 822, 928, 608, 418, 925 |
| 2 | 411, 464, 304, 209, 925 |
| 2 | 411, 232, 152, 209, 925 |
| 2 | 411, 116, 76, 209, 925 |
| 2 | 411, 58, 38, 209, 925 |
| 19 | 411, 29, 19, 209, 925 |
| 411, 29, 1, 11, 925 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 19 x 411 x 29 x 1 x 11 x 925 = 73735701600
Therefore, the lowest common multiple of 822,928,608,418,925 is 73735701600.
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.
822 x 928 x 608 x 418 x 925 = 179325226291200
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
418 : 1, 2, 11, 19, 22, 38, 209, 418
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,928,608,418,925, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
928:2x 2x 2x 2x 2x 29
608:2x 2x 2x 2x 2x 19
418:2x 11x 19
925:5x 5x 37
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 2x 2x 19 = 2432
Therefore, the value for common factors is 2432.
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 = 179325226291200/(1x2432)
LCM = 179325226291200/2432
LCM = 73735701600
Thus, we can understand that the LCM of 822,928,608,418,925 is 73735701600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 822, 928, 608, 418, 925
1. What is the LCM of 822, 928, 608, 418, 925?
Answer: LCM of 822, 928, 608, 418, 925 is 73735701600.
2. How to calculate the LCM of 822, 928, 608, 418, 925?
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 822, 928, 608, 418, 925.
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}.