LCM of 822, 107, 822, 954, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 107, 822, 954, 179 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, 107, 822, 954, 179. So, keep reading to learn more.
Given numbers are 822,107,822,954,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,107,822,954,179 is 2503258794.
Find LCM of 822,107,822,954,179 with Prime Factorization
| 2 | 822, 107, 822, 954, 179 |
| 3 | 411, 107, 411, 477, 179 |
| 137 | 137, 107, 137, 159, 179 |
| 1, 107, 1, 159, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 1 x 107 x 1 x 159 x 179 = 2503258794
Therefore, the lowest common multiple of 822,107,822,954,179 is 2503258794.
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 107 x 822 x 954 x 179 = 12346072372008
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
107 : 1, 107
822 : 1, 2, 3, 6, 137, 274, 411, 822
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,107,822,954,179, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
107:107
822:2x 3x 137
954:2x 3x 3x 53
179:179
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 137 = 4932
Therefore, the value for common factors is 4932.
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 = 12346072372008/(1x4932)
LCM = 12346072372008/4932
LCM = 2503258794
Thus, we can understand that the LCM of 822,107,822,954,179 is 2503258794.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 107, 822, 954, 179
1. What is the LCM of 822, 107, 822, 954, 179?
Answer: LCM of 822, 107, 822, 954, 179 is 2503258794.
2. How to calculate the LCM of 822, 107, 822, 954, 179?
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, 107, 822, 954, 179.
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}.