LCM of 799, 908, 381, 868, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 908, 381, 868, 789 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 799, 908, 381, 868, 789. So, keep reading to learn more.
Given numbers are 799,908,381,868,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,908,381,868,789 is 15775135048092.
Find LCM of 799,908,381,868,789 with Prime Factorization
| 2 | 799, 908, 381, 868, 789 |
| 2 | 799, 454, 381, 434, 789 |
| 3 | 799, 227, 381, 217, 789 |
| 799, 227, 127, 217, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 799 x 227 x 127 x 217 x 263 = 15775135048092
Therefore, the lowest common multiple of 799,908,381,868,789 is 15775135048092.
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.
799 x 908 x 381 x 868 x 789 = 189301620577104
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.
799 : 1, 17, 47, 799
908 : 1, 2, 4, 227, 454, 908
381 : 1, 3, 127, 381
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,908,381,868,789, is 1.
Now, the common factors can be found like this.
799:17x 47
908:2x 2x 227
381:3x 127
868:2x 2x 7x 31
789:3x 263
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 3 = 12
Therefore, the value for common factors is 12.
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 = 189301620577104/(1x12)
LCM = 189301620577104/12
LCM = 15775135048092
Thus, we can understand that the LCM of 799,908,381,868,789 is 15775135048092.
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FAQs on LCM of 799, 908, 381, 868, 789
1. What is the LCM of 799, 908, 381, 868, 789?
Answer: LCM of 799, 908, 381, 868, 789 is 15775135048092.
2. How to calculate the LCM of 799, 908, 381, 868, 789?
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 799, 908, 381, 868, 789.
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}.