LCM of 580, 799, 200, 904, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 799, 200, 904, 848 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 580, 799, 200, 904, 848. So, keep reading to learn more.
Given numbers are 580,799,200,904,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,799,200,904,848 is 55508447600.
Find LCM of 580,799,200,904,848 with Prime Factorization
| 2 | 580, 799, 200, 904, 848 |
| 2 | 290, 799, 100, 452, 424 |
| 2 | 145, 799, 50, 226, 212 |
| 5 | 145, 799, 25, 113, 106 |
| 29, 799, 5, 113, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 29 x 799 x 5 x 113 x 106 = 55508447600
Therefore, the lowest common multiple of 580,799,200,904,848 is 55508447600.
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.
580 x 799 x 200 x 904 x 848 = 71050812928000
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
799 : 1, 17, 47, 799
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
904 : 1, 2, 4, 8, 113, 226, 452, 904
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,799,200,904,848, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
799:17x 47
200:2x 2x 2x 5x 5
904:2x 2x 2x 113
848:2x 2x 2x 2x 53
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 2x 5 = 1280
Therefore, the value for common factors is 1280.
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 = 71050812928000/(1x1280)
LCM = 71050812928000/1280
LCM = 55508447600
Thus, we can understand that the LCM of 580,799,200,904,848 is 55508447600.
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FAQs on LCM of 580, 799, 200, 904, 848
1. What is the LCM of 580, 799, 200, 904, 848?
Answer: LCM of 580, 799, 200, 904, 848 is 55508447600.
2. How to calculate the LCM of 580, 799, 200, 904, 848?
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 580, 799, 200, 904, 848.
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}.