LCM of 317, 810, 998, 522, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 810, 998, 522, 162 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 317, 810, 998, 522, 162. So, keep reading to learn more.
Given numbers are 317,810,998,522,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,810,998,522,162 is 3715718670.
Find LCM of 317,810,998,522,162 with Prime Factorization
| 2 | 317, 810, 998, 522, 162 |
| 3 | 317, 405, 499, 261, 81 |
| 3 | 317, 135, 499, 87, 27 |
| 3 | 317, 45, 499, 29, 9 |
| 3 | 317, 15, 499, 29, 3 |
| 317, 5, 499, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 317 x 5 x 499 x 29 x 1 = 3715718670
Therefore, the lowest common multiple of 317,810,998,522,162 is 3715718670.
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.
317 x 810 x 998 x 522 x 162 = 21670071283440
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.
317 : 1, 317
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
998 : 1, 2, 499, 998
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,810,998,522,162, is 1.
Now, the common factors can be found like this.
317:317
810:2x 3x 3x 3x 3x 5
998:2x 499
522:2x 3x 3x 29
162:2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 21670071283440/(1x5832)
LCM = 21670071283440/5832
LCM = 3715718670
Thus, we can understand that the LCM of 317,810,998,522,162 is 3715718670.
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FAQs on LCM of 317, 810, 998, 522, 162
1. What is the LCM of 317, 810, 998, 522, 162?
Answer: LCM of 317, 810, 998, 522, 162 is 3715718670.
2. How to calculate the LCM of 317, 810, 998, 522, 162?
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 317, 810, 998, 522, 162.
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}.