LCM of 682, 427, 819, 966, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 427, 819, 966, 230 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 682, 427, 819, 966, 230. So, keep reading to learn more.
Given numbers are 682,427,819,966,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,427,819,966,230 is 3918284370.
Find LCM of 682,427,819,966,230 with Prime Factorization
| 2 | 682, 427, 819, 966, 230 |
| 3 | 341, 427, 819, 483, 115 |
| 7 | 341, 427, 273, 161, 115 |
| 23 | 341, 61, 39, 23, 115 |
| 341, 61, 39, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 341 x 61 x 39 x 1 x 5 = 3918284370
Therefore, the lowest common multiple of 682,427,819,966,230 is 3918284370.
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.
682 x 427 x 819 x 966 x 230 = 52990877819880
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
427 : 1, 7, 61, 427
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,427,819,966,230, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
427:7x 61
819:3x 3x 7x 13
966:2x 3x 7x 23
230:2x 5x 23
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 3x 7x 7x 23 = 13524
Therefore, the value for common factors is 13524.
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 = 52990877819880/(1x13524)
LCM = 52990877819880/13524
LCM = 3918284370
Thus, we can understand that the LCM of 682,427,819,966,230 is 3918284370.
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FAQs on LCM of 682, 427, 819, 966, 230
1. What is the LCM of 682, 427, 819, 966, 230?
Answer: LCM of 682, 427, 819, 966, 230 is 3918284370.
2. How to calculate the LCM of 682, 427, 819, 966, 230?
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 682, 427, 819, 966, 230.
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}.