LCM of 934, 923, 512, 832, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 923, 512, 832, 285 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 934, 923, 512, 832, 285. So, keep reading to learn more.
Given numbers are 934,923,512,832,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,923,512,832,285 is 62897502720.
Find LCM of 934,923,512,832,285 with Prime Factorization
| 2 | 934, 923, 512, 832, 285 |
| 2 | 467, 923, 256, 416, 285 |
| 2 | 467, 923, 128, 208, 285 |
| 2 | 467, 923, 64, 104, 285 |
| 2 | 467, 923, 32, 52, 285 |
| 2 | 467, 923, 16, 26, 285 |
| 13 | 467, 923, 8, 13, 285 |
| 467, 71, 8, 1, 285 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 13 x 467 x 71 x 8 x 1 x 285 = 62897502720
Therefore, the lowest common multiple of 934,923,512,832,285 is 62897502720.
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.
934 x 923 x 512 x 832 x 285 = 104661444526080
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.
934 : 1, 2, 467, 934
923 : 1, 13, 71, 923
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,923,512,832,285, is 1.
Now, the common factors can be found like this.
934:2x 467
923:13x 71
512:2x 2x 2x 2x 2x 2x 2x 2x 2
832:2x 2x 2x 2x 2x 2x 13
285:3x 5x 19
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 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 104661444526080/(1x1664)
LCM = 104661444526080/1664
LCM = 62897502720
Thus, we can understand that the LCM of 934,923,512,832,285 is 62897502720.
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FAQs on LCM of 934, 923, 512, 832, 285
1. What is the LCM of 934, 923, 512, 832, 285?
Answer: LCM of 934, 923, 512, 832, 285 is 62897502720.
2. How to calculate the LCM of 934, 923, 512, 832, 285?
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 934, 923, 512, 832, 285.
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}.