LCM of 799, 590, 905, 288, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 590, 905, 288, 590 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 799, 590, 905, 288, 590. So, keep reading to learn more.
Given numbers are 799,590,905,288,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,590,905,288,590 is 12286830240.
Find LCM of 799,590,905,288,590 with Prime Factorization
| 2 | 799, 590, 905, 288, 590 |
| 5 | 799, 295, 905, 144, 295 |
| 59 | 799, 59, 181, 144, 59 |
| 799, 1, 181, 144, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 799 x 1 x 181 x 144 x 1 = 12286830240
Therefore, the lowest common multiple of 799,590,905,288,590 is 12286830240.
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.
799 x 590 x 905 x 288 x 590 = 72492298416000
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.
799 : 1, 17, 47, 799
590 : 1, 2, 5, 10, 59, 118, 295, 590
905 : 1, 5, 181, 905
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,590,905,288,590, is 1.
Now, the common factors can be found like this.
799:17x 47
590:2x 5x 59
905:5x 181
288:2x 2x 2x 2x 2x 3x 3
590:2x 5x 59
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 5x 5x 59 = 5900
Therefore, the value for common factors is 5900.
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 = 72492298416000/(1x5900)
LCM = 72492298416000/5900
LCM = 12286830240
Thus, we can understand that the LCM of 799,590,905,288,590 is 12286830240.
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FAQs on LCM of 799, 590, 905, 288, 590
1. What is the LCM of 799, 590, 905, 288, 590?
Answer: LCM of 799, 590, 905, 288, 590 is 12286830240.
2. How to calculate the LCM of 799, 590, 905, 288, 590?
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 799, 590, 905, 288, 590.
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}.