LCM of 459, 520, 283, 884, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 520, 283, 884, 128 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 459, 520, 283, 884, 128. So, keep reading to learn more.
Given numbers are 459,520,283,884,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,520,283,884,128 is 1080743040.
Find LCM of 459,520,283,884,128 with Prime Factorization
| 2 | 459, 520, 283, 884, 128 |
| 2 | 459, 260, 283, 442, 64 |
| 2 | 459, 130, 283, 221, 32 |
| 13 | 459, 65, 283, 221, 16 |
| 17 | 459, 5, 283, 17, 16 |
| 27, 5, 283, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 17 x 27 x 5 x 283 x 1 x 16 = 1080743040
Therefore, the lowest common multiple of 459,520,283,884,128 is 1080743040.
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.
459 x 520 x 283 x 884 x 128 = 7643014778880
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
283 : 1, 283
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,520,283,884,128, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
520:2x 2x 2x 5x 13
283:283
884:2x 2x 13x 17
128:2x 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 2x 2x 13x 17 = 7072
Therefore, the value for common factors is 7072.
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 = 7643014778880/(1x7072)
LCM = 7643014778880/7072
LCM = 1080743040
Thus, we can understand that the LCM of 459,520,283,884,128 is 1080743040.
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FAQs on LCM of 459, 520, 283, 884, 128
1. What is the LCM of 459, 520, 283, 884, 128?
Answer: LCM of 459, 520, 283, 884, 128 is 1080743040.
2. How to calculate the LCM of 459, 520, 283, 884, 128?
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 459, 520, 283, 884, 128.
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}.