LCM of 861, 989, 623, 943, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 989, 623, 943, 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 861, 989, 623, 943, 819. So, keep reading to learn more.
Given numbers are 861,989,623,943,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,989,623,943,819 is 2955657159.
Find LCM of 861,989,623,943,819 with Prime Factorization
| 3 | 861, 989, 623, 943, 819 |
| 7 | 287, 989, 623, 943, 273 |
| 23 | 41, 989, 89, 943, 39 |
| 41 | 41, 43, 89, 41, 39 |
| 1, 43, 89, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 41 x 1 x 43 x 89 x 1 x 39 = 2955657159
Therefore, the lowest common multiple of 861,989,623,943,819 is 2955657159.
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.
861 x 989 x 623 x 943 x 819 = 409716151037739
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
989 : 1, 23, 43, 989
623 : 1, 7, 89, 623
943 : 1, 23, 41, 943
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 861,989,623,943,819, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
989:23x 43
623:7x 89
943:23x 41
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.
3x 7x 7x 23x 41 = 138621
Therefore, the value for common factors is 138621.
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 = 409716151037739/(1x138621)
LCM = 409716151037739/138621
LCM = 2955657159
Thus, we can understand that the LCM of 861,989,623,943,819 is 2955657159.
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FAQs on LCM of 861, 989, 623, 943, 819
1. What is the LCM of 861, 989, 623, 943, 819?
Answer: LCM of 861, 989, 623, 943, 819 is 2955657159.
2. How to calculate the LCM of 861, 989, 623, 943, 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 861, 989, 623, 943, 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}.