LCM of 482, 957, 459, 836, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 957, 459, 836, 512 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 482, 957, 459, 836, 512. So, keep reading to learn more.
Given numbers are 482,957,459,836,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,957,459,836,512 is 343276420608.
Find LCM of 482,957,459,836,512 with Prime Factorization
| 2 | 482, 957, 459, 836, 512 |
| 2 | 241, 957, 459, 418, 256 |
| 3 | 241, 957, 459, 209, 128 |
| 11 | 241, 319, 153, 209, 128 |
| 241, 29, 153, 19, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 241 x 29 x 153 x 19 x 128 = 343276420608
Therefore, the lowest common multiple of 482,957,459,836,512 is 343276420608.
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.
482 x 957 x 459 x 836 x 512 = 90624975040512
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.
482 : 1, 2, 241, 482
957 : 1, 3, 11, 29, 33, 87, 319, 957
459 : 1, 3, 9, 17, 27, 51, 153, 459
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,957,459,836,512, is 1.
Now, the common factors can be found like this.
482:2x 241
957:3x 11x 29
459:3x 3x 3x 17
836:2x 2x 11x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 90624975040512/(1x264)
LCM = 90624975040512/264
LCM = 343276420608
Thus, we can understand that the LCM of 482,957,459,836,512 is 343276420608.
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FAQs on LCM of 482, 957, 459, 836, 512
1. What is the LCM of 482, 957, 459, 836, 512?
Answer: LCM of 482, 957, 459, 836, 512 is 343276420608.
2. How to calculate the LCM of 482, 957, 459, 836, 512?
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 482, 957, 459, 836, 512.
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}.