LCM of 343, 904, 484, 957, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 904, 484, 957, 856 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 343, 904, 484, 957, 856. So, keep reading to learn more.
Given numbers are 343,904,484,957,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,904,484,957,856 is 349261690008.
Find LCM of 343,904,484,957,856 with Prime Factorization
| 2 | 343, 904, 484, 957, 856 |
| 2 | 343, 452, 242, 957, 428 |
| 2 | 343, 226, 121, 957, 214 |
| 11 | 343, 113, 121, 957, 107 |
| 343, 113, 11, 87, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 343 x 113 x 11 x 87 x 107 = 349261690008
Therefore, the lowest common multiple of 343,904,484,957,856 is 349261690008.
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.
343 x 904 x 484 x 957 x 856 = 122940114882816
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.
343 : 1, 7, 49, 343
904 : 1, 2, 4, 8, 113, 226, 452, 904
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
957 : 1, 3, 11, 29, 33, 87, 319, 957
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,904,484,957,856, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
904:2x 2x 2x 113
484:2x 2x 11x 11
957:3x 11x 29
856:2x 2x 2x 107
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 122940114882816/(1x352)
LCM = 122940114882816/352
LCM = 349261690008
Thus, we can understand that the LCM of 343,904,484,957,856 is 349261690008.
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FAQs on LCM of 343, 904, 484, 957, 856
1. What is the LCM of 343, 904, 484, 957, 856?
Answer: LCM of 343, 904, 484, 957, 856 is 349261690008.
2. How to calculate the LCM of 343, 904, 484, 957, 856?
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 343, 904, 484, 957, 856.
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}.