LCM of 852, 943, 380, 822, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 943, 380, 822, 171 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 852, 943, 380, 822, 171. So, keep reading to learn more.
Given numbers are 852,943,380,822,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,943,380,822,171 is 31370158620.
Find LCM of 852,943,380,822,171 with Prime Factorization
| 2 | 852, 943, 380, 822, 171 |
| 2 | 426, 943, 190, 411, 171 |
| 3 | 213, 943, 95, 411, 171 |
| 19 | 71, 943, 95, 137, 57 |
| 71, 943, 5, 137, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 71 x 943 x 5 x 137 x 3 = 31370158620
Therefore, the lowest common multiple of 852,943,380,822,171 is 31370158620.
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.
852 x 943 x 380 x 822 x 171 = 42914376992160
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
943 : 1, 23, 41, 943
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
822 : 1, 2, 3, 6, 137, 274, 411, 822
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,943,380,822,171, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
943:23x 41
380:2x 2x 5x 19
822:2x 3x 137
171:3x 3x 19
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 19 = 1368
Therefore, the value for common factors is 1368.
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 = 42914376992160/(1x1368)
LCM = 42914376992160/1368
LCM = 31370158620
Thus, we can understand that the LCM of 852,943,380,822,171 is 31370158620.
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FAQs on LCM of 852, 943, 380, 822, 171
1. What is the LCM of 852, 943, 380, 822, 171?
Answer: LCM of 852, 943, 380, 822, 171 is 31370158620.
2. How to calculate the LCM of 852, 943, 380, 822, 171?
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 852, 943, 380, 822, 171.
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}.