LCM of 861, 616, 858, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 616, 858, 793 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 861, 616, 858, 793. So, keep reading to learn more.
Given numbers are 861,616,858,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,616,858,793 is 60084024.
Find LCM of 861,616,858,793 with Prime Factorization
| 2 | 861, 616, 858, 793 |
| 3 | 861, 308, 429, 793 |
| 7 | 287, 308, 143, 793 |
| 11 | 41, 44, 143, 793 |
| 13 | 41, 4, 13, 793 |
| 41, 4, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 41 x 4 x 1 x 61 = 60084024
Therefore, the lowest common multiple of 861,616,858,793 is 60084024.
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.
861 x 616 x 858 x 793 = 360864648144
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,616,858,793, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
616:2x 2x 2x 7x 11
858:2x 3x 11x 13
793:13x 61
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 11x 13 = 6006
Therefore, the value for common factors is 6006.
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 = 360864648144/(1x6006)
LCM = 360864648144/6006
LCM = 60084024
Thus, we can understand that the LCM of 861,616,858,793 is 60084024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 616, 858, 793
1. What is the LCM of 861, 616, 858, 793?
Answer: LCM of 861, 616, 858, 793 is 60084024.
2. How to calculate the LCM of 861, 616, 858, 793?
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 861, 616, 858, 793.
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}.