LCM of 883, 576, 942, 992, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 576, 942, 992, 806 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 883, 576, 942, 992, 806. So, keep reading to learn more.
Given numbers are 883,576,942,992,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,576,942,992,806 is 32180136768.
Find LCM of 883,576,942,992,806 with Prime Factorization
| 2 | 883, 576, 942, 992, 806 |
| 2 | 883, 288, 471, 496, 403 |
| 2 | 883, 144, 471, 248, 403 |
| 2 | 883, 72, 471, 124, 403 |
| 2 | 883, 36, 471, 62, 403 |
| 3 | 883, 18, 471, 31, 403 |
| 31 | 883, 6, 157, 31, 403 |
| 883, 6, 157, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 31 x 883 x 6 x 157 x 1 x 13 = 32180136768
Therefore, the lowest common multiple of 883,576,942,992,806 is 32180136768.
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.
883 x 576 x 942 x 992 x 806 = 383072348086272
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.
883 : 1, 883
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
942 : 1, 2, 3, 6, 157, 314, 471, 942
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,576,942,992,806, is 1.
Now, the common factors can be found like this.
883:883
576:2x 2x 2x 2x 2x 2x 3x 3
942:2x 3x 157
992:2x 2x 2x 2x 2x 31
806:2x 13x 31
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 3x 31 = 11904
Therefore, the value for common factors is 11904.
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 = 383072348086272/(1x11904)
LCM = 383072348086272/11904
LCM = 32180136768
Thus, we can understand that the LCM of 883,576,942,992,806 is 32180136768.
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FAQs on LCM of 883, 576, 942, 992, 806
1. What is the LCM of 883, 576, 942, 992, 806?
Answer: LCM of 883, 576, 942, 992, 806 is 32180136768.
2. How to calculate the LCM of 883, 576, 942, 992, 806?
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 883, 576, 942, 992, 806.
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}.