LCM of 819, 657, 391, 913, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 657, 391, 913, 506 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, 657, 391, 913, 506. So, keep reading to learn more.
Given numbers are 819,657,391,913,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,657,391,913,506 is 42685885242.
Find LCM of 819,657,391,913,506 with Prime Factorization
| 3 | 819, 657, 391, 913, 506 |
| 3 | 273, 219, 391, 913, 506 |
| 11 | 91, 73, 391, 913, 506 |
| 23 | 91, 73, 391, 83, 46 |
| 91, 73, 17, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 23 x 91 x 73 x 17 x 83 x 2 = 42685885242
Therefore, the lowest common multiple of 819,657,391,913,506 is 42685885242.
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 657 x 391 x 913 x 506 = 97195760696034
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
657 : 1, 3, 9, 73, 219, 657
391 : 1, 17, 23, 391
913 : 1, 11, 83, 913
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,657,391,913,506, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
657:3x 3x 73
391:17x 23
913:11x 83
506:2x 11x 23
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 11x 23 = 2277
Therefore, the value for common factors is 2277.
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 = 97195760696034/(1x2277)
LCM = 97195760696034/2277
LCM = 42685885242
Thus, we can understand that the LCM of 819,657,391,913,506 is 42685885242.
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FAQs on LCM of 819, 657, 391, 913, 506
1. What is the LCM of 819, 657, 391, 913, 506?
Answer: LCM of 819, 657, 391, 913, 506 is 42685885242.
2. How to calculate the LCM of 819, 657, 391, 913, 506?
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, 657, 391, 913, 506.
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}.