LCM of 739, 364, 896, 898, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 364, 896, 898, 517 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 739, 364, 896, 898, 517. So, keep reading to learn more.
Given numbers are 739,364,896,898,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,364,896,898,517 is 1998171150976.
Find LCM of 739,364,896,898,517 with Prime Factorization
| 2 | 739, 364, 896, 898, 517 |
| 2 | 739, 182, 448, 449, 517 |
| 7 | 739, 91, 224, 449, 517 |
| 739, 13, 32, 449, 517 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 739 x 13 x 32 x 449 x 517 = 1998171150976
Therefore, the lowest common multiple of 739,364,896,898,517 is 1998171150976.
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.
739 x 364 x 896 x 898 x 517 = 111897584454656
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.
739 : 1, 739
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
898 : 1, 2, 449, 898
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,364,896,898,517, is 1.
Now, the common factors can be found like this.
739:739
364:2x 2x 7x 13
896:2x 2x 2x 2x 2x 2x 2x 7
898:2x 449
517:11x 47
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 7 = 56
Therefore, the value for common factors is 56.
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 = 111897584454656/(1x56)
LCM = 111897584454656/56
LCM = 1998171150976
Thus, we can understand that the LCM of 739,364,896,898,517 is 1998171150976.
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FAQs on LCM of 739, 364, 896, 898, 517
1. What is the LCM of 739, 364, 896, 898, 517?
Answer: LCM of 739, 364, 896, 898, 517 is 1998171150976.
2. How to calculate the LCM of 739, 364, 896, 898, 517?
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 739, 364, 896, 898, 517.
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}.