LCM of 783, 992, 699, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 992, 699, 806 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 783, 992, 699, 806. So, keep reading to learn more.
Given numbers are 783,992,699,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,992,699,806 is 2352733344.
Find LCM of 783,992,699,806 with Prime Factorization
| 2 | 783, 992, 699, 806 |
| 3 | 783, 496, 699, 403 |
| 31 | 261, 496, 233, 403 |
| 261, 16, 233, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 261 x 16 x 233 x 13 = 2352733344
Therefore, the lowest common multiple of 783,992,699,806 is 2352733344.
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.
783 x 992 x 699 x 806 = 437608401984
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
699 : 1, 3, 233, 699
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,992,699,806, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
992:2x 2x 2x 2x 2x 31
699:3x 233
806:2x 13x 31
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 31 = 186
Therefore, the value for common factors is 186.
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 = 437608401984/(1x186)
LCM = 437608401984/186
LCM = 2352733344
Thus, we can understand that the LCM of 783,992,699,806 is 2352733344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 783, 992, 699, 806
1. What is the LCM of 783, 992, 699, 806?
Answer: LCM of 783, 992, 699, 806 is 2352733344.
2. How to calculate the LCM of 783, 992, 699, 806?
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 783, 992, 699, 806.
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}.