LCM of 382, 403, 589, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 403, 589, 819 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 382, 403, 589, 819. So, keep reading to learn more.
Given numbers are 382,403,589,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,403,589,819 is 184273362.
Find LCM of 382,403,589,819 with Prime Factorization
| 13 | 382, 403, 589, 819 |
| 31 | 382, 31, 589, 63 |
| 382, 1, 19, 63 |
Multiply the prime numbers at the bottom and the left side.
13 x 31 x 382 x 1 x 19 x 63 = 184273362
Therefore, the lowest common multiple of 382,403,589,819 is 184273362.
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.
382 x 403 x 589 x 819 = 74262164886
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.
382 : 1, 2, 191, 382
403 : 1, 13, 31, 403
589 : 1, 19, 31, 589
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,403,589,819, is 1.
Now, the common factors can be found like this.
382:2x 191
403:13x 31
589:19x 31
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 31 = 403
Therefore, the value for common factors is 403.
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 = 74262164886/(1x403)
LCM = 74262164886/403
LCM = 184273362
Thus, we can understand that the LCM of 382,403,589,819 is 184273362.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 403, 589, 819
1. What is the LCM of 382, 403, 589, 819?
Answer: LCM of 382, 403, 589, 819 is 184273362.
2. How to calculate the LCM of 382, 403, 589, 819?
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 382, 403, 589, 819.
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}.