LCM of 839, 990, 616, 563, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 990, 616, 563, 861 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 839, 990, 616, 563, 861. So, keep reading to learn more.
Given numbers are 839,990,616,563,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,990,616,563,861 is 536843177640.
Find LCM of 839,990,616,563,861 with Prime Factorization
| 2 | 839, 990, 616, 563, 861 |
| 3 | 839, 495, 308, 563, 861 |
| 7 | 839, 165, 308, 563, 287 |
| 11 | 839, 165, 44, 563, 41 |
| 839, 15, 4, 563, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 839 x 15 x 4 x 563 x 41 = 536843177640
Therefore, the lowest common multiple of 839,990,616,563,861 is 536843177640.
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.
839 x 990 x 616 x 563 x 861 = 248021548069680
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.
839 : 1, 839
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
563 : 1, 563
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,990,616,563,861, is 1.
Now, the common factors can be found like this.
839:839
990:2x 3x 3x 5x 11
616:2x 2x 2x 7x 11
563:563
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 248021548069680/(1x462)
LCM = 248021548069680/462
LCM = 536843177640
Thus, we can understand that the LCM of 839,990,616,563,861 is 536843177640.
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FAQs on LCM of 839, 990, 616, 563, 861
1. What is the LCM of 839, 990, 616, 563, 861?
Answer: LCM of 839, 990, 616, 563, 861 is 536843177640.
2. How to calculate the LCM of 839, 990, 616, 563, 861?
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 839, 990, 616, 563, 861.
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}.