LCM of 579, 378, 608, 596, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 378, 608, 596, 977 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 579, 378, 608, 596, 977. So, keep reading to learn more.
Given numbers are 579,378,608,596,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,378,608,596,977 is 3228520323168.
Find LCM of 579,378,608,596,977 with Prime Factorization
| 2 | 579, 378, 608, 596, 977 |
| 2 | 579, 189, 304, 298, 977 |
| 3 | 579, 189, 152, 149, 977 |
| 193, 63, 152, 149, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 63 x 152 x 149 x 977 = 3228520323168
Therefore, the lowest common multiple of 579,378,608,596,977 is 3228520323168.
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.
579 x 378 x 608 x 596 x 977 = 77484487756032
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.
579 : 1, 3, 193, 579
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
596 : 1, 2, 4, 149, 298, 596
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,378,608,596,977, is 1.
Now, the common factors can be found like this.
579:3x 193
378:2x 3x 3x 3x 7
608:2x 2x 2x 2x 2x 19
596:2x 2x 149
977:977
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 77484487756032/(1x24)
LCM = 77484487756032/24
LCM = 3228520323168
Thus, we can understand that the LCM of 579,378,608,596,977 is 3228520323168.
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FAQs on LCM of 579, 378, 608, 596, 977
1. What is the LCM of 579, 378, 608, 596, 977?
Answer: LCM of 579, 378, 608, 596, 977 is 3228520323168.
2. How to calculate the LCM of 579, 378, 608, 596, 977?
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 579, 378, 608, 596, 977.
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}.