LCM of 592, 844, 633, 878, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 844, 633, 878, 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 592, 844, 633, 878, 522. So, keep reading to learn more.
Given numbers are 592,844,633,878,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,844,633,878,522 is 14312292048.
Find LCM of 592,844,633,878,522 with Prime Factorization
| 2 | 592, 844, 633, 878, 522 |
| 2 | 296, 422, 633, 439, 261 |
| 3 | 148, 211, 633, 439, 261 |
| 211 | 148, 211, 211, 439, 87 |
| 148, 1, 1, 439, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 211 x 148 x 1 x 1 x 439 x 87 = 14312292048
Therefore, the lowest common multiple of 592,844,633,878,522 is 14312292048.
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.
592 x 844 x 633 x 878 x 522 = 144954893862144
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
844 : 1, 2, 4, 211, 422, 844
633 : 1, 3, 211, 633
878 : 1, 2, 439, 878
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 592,844,633,878,522, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
844:2x 2x 211
633:3x 211
878:2x 439
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 2x 2x 3x 211 = 10128
Therefore, the value for common factors is 10128.
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 = 144954893862144/(1x10128)
LCM = 144954893862144/10128
LCM = 14312292048
Thus, we can understand that the LCM of 592,844,633,878,522 is 14312292048.
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FAQs on LCM of 592, 844, 633, 878, 522
1. What is the LCM of 592, 844, 633, 878, 522?
Answer: LCM of 592, 844, 633, 878, 522 is 14312292048.
2. How to calculate the LCM of 592, 844, 633, 878, 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 592, 844, 633, 878, 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}.