LCM of 919, 737, 576, 268, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 737, 576, 268, 579 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 919, 737, 576, 268, 579. So, keep reading to learn more.
Given numbers are 919,737,576,268,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,737,576,268,579 is 75294419904.
Find LCM of 919,737,576,268,579 with Prime Factorization
| 2 | 919, 737, 576, 268, 579 |
| 2 | 919, 737, 288, 134, 579 |
| 3 | 919, 737, 144, 67, 579 |
| 67 | 919, 737, 48, 67, 193 |
| 919, 11, 48, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 919 x 11 x 48 x 1 x 193 = 75294419904
Therefore, the lowest common multiple of 919,737,576,268,579 is 75294419904.
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.
919 x 737 x 576 x 268 x 579 = 60536713602816
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.
919 : 1, 919
737 : 1, 11, 67, 737
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
268 : 1, 2, 4, 67, 134, 268
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,737,576,268,579, is 1.
Now, the common factors can be found like this.
919:919
737:11x 67
576:2x 2x 2x 2x 2x 2x 3x 3
268:2x 2x 67
579:3x 193
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 67 = 804
Therefore, the value for common factors is 804.
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 = 60536713602816/(1x804)
LCM = 60536713602816/804
LCM = 75294419904
Thus, we can understand that the LCM of 919,737,576,268,579 is 75294419904.
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FAQs on LCM of 919, 737, 576, 268, 579
1. What is the LCM of 919, 737, 576, 268, 579?
Answer: LCM of 919, 737, 576, 268, 579 is 75294419904.
2. How to calculate the LCM of 919, 737, 576, 268, 579?
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 919, 737, 576, 268, 579.
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}.