LCM of 397, 873, 906, 896, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 873, 906, 896, 522 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 397, 873, 906, 896, 522. So, keep reading to learn more.
Given numbers are 397,873,906,896,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,873,906,896,522 is 1359839666304.
Find LCM of 397,873,906,896,522 with Prime Factorization
| 2 | 397, 873, 906, 896, 522 |
| 3 | 397, 873, 453, 448, 261 |
| 3 | 397, 291, 151, 448, 87 |
| 397, 97, 151, 448, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 397 x 97 x 151 x 448 x 29 = 1359839666304
Therefore, the lowest common multiple of 397,873,906,896,522 is 1359839666304.
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.
397 x 873 x 906 x 896 x 522 = 146862683960832
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.
397 : 1, 397
873 : 1, 3, 9, 97, 291, 873
906 : 1, 2, 3, 6, 151, 302, 453, 906
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,873,906,896,522, is 1.
Now, the common factors can be found like this.
397:397
873:3x 3x 97
906:2x 3x 151
896:2x 2x 2x 2x 2x 2x 2x 7
522:2x 3x 3x 29
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 146862683960832/(1x108)
LCM = 146862683960832/108
LCM = 1359839666304
Thus, we can understand that the LCM of 397,873,906,896,522 is 1359839666304.
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FAQs on LCM of 397, 873, 906, 896, 522
1. What is the LCM of 397, 873, 906, 896, 522?
Answer: LCM of 397, 873, 906, 896, 522 is 1359839666304.
2. How to calculate the LCM of 397, 873, 906, 896, 522?
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 397, 873, 906, 896, 522.
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}.