LCM of 590, 913, 720, 848, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 913, 720, 848, 832 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 590, 913, 720, 848, 832. So, keep reading to learn more.
Given numbers are 590,913,720,848,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,913,720,848,832 is 106889365440.
Find LCM of 590,913,720,848,832 with Prime Factorization
| 2 | 590, 913, 720, 848, 832 |
| 2 | 295, 913, 360, 424, 416 |
| 2 | 295, 913, 180, 212, 208 |
| 2 | 295, 913, 90, 106, 104 |
| 5 | 295, 913, 45, 53, 52 |
| 59, 913, 9, 53, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 59 x 913 x 9 x 53 x 52 = 106889365440
Therefore, the lowest common multiple of 590,913,720,848,832 is 106889365440.
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.
590 x 913 x 720 x 848 x 832 = 273636775526400
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
913 : 1, 11, 83, 913
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,913,720,848,832, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
913:11x 83
720:2x 2x 2x 2x 3x 3x 5
848:2x 2x 2x 2x 53
832:2x 2x 2x 2x 2x 2x 13
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 2x 5 = 2560
Therefore, the value for common factors is 2560.
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 = 273636775526400/(1x2560)
LCM = 273636775526400/2560
LCM = 106889365440
Thus, we can understand that the LCM of 590,913,720,848,832 is 106889365440.
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FAQs on LCM of 590, 913, 720, 848, 832
1. What is the LCM of 590, 913, 720, 848, 832?
Answer: LCM of 590, 913, 720, 848, 832 is 106889365440.
2. How to calculate the LCM of 590, 913, 720, 848, 832?
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 590, 913, 720, 848, 832.
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}.