LCM of 819, 846, 799, 369, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 846, 799, 369, 793 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 819, 846, 799, 369, 793. So, keep reading to learn more.
Given numbers are 819,846,799,369,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,846,799,369,793 is 3273213762.
Find LCM of 819,846,799,369,793 with Prime Factorization
| 3 | 819, 846, 799, 369, 793 |
| 3 | 273, 282, 799, 123, 793 |
| 13 | 91, 94, 799, 41, 793 |
| 47 | 7, 94, 799, 41, 61 |
| 7, 2, 17, 41, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 47 x 7 x 2 x 17 x 41 x 61 = 3273213762
Therefore, the lowest common multiple of 819,846,799,369,793 is 3273213762.
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.
819 x 846 x 799 x 369 x 793 = 161994622295142
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
799 : 1, 17, 47, 799
369 : 1, 3, 9, 41, 123, 369
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,846,799,369,793, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
846:2x 3x 3x 47
799:17x 47
369:3x 3x 41
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 13x 47 = 49491
Therefore, the value for common factors is 49491.
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 = 161994622295142/(1x49491)
LCM = 161994622295142/49491
LCM = 3273213762
Thus, we can understand that the LCM of 819,846,799,369,793 is 3273213762.
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FAQs on LCM of 819, 846, 799, 369, 793
1. What is the LCM of 819, 846, 799, 369, 793?
Answer: LCM of 819, 846, 799, 369, 793 is 3273213762.
2. How to calculate the LCM of 819, 846, 799, 369, 793?
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 819, 846, 799, 369, 793.
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}.