LCM of 517, 940, 713, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 940, 713, 851 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 517, 940, 713, 851. So, keep reading to learn more.
Given numbers are 517,940,713,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,940,713,851 is 272779540.
Find LCM of 517,940,713,851 with Prime Factorization
| 23 | 517, 940, 713, 851 |
| 47 | 517, 940, 31, 37 |
| 11, 20, 31, 37 |
Multiply the prime numbers at the bottom and the left side.
23 x 47 x 11 x 20 x 31 x 37 = 272779540
Therefore, the lowest common multiple of 517,940,713,851 is 272779540.
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.
517 x 940 x 713 x 851 = 294874682740
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.
517 : 1, 11, 47, 517
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
713 : 1, 23, 31, 713
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,940,713,851, is 1.
Now, the common factors can be found like this.
517:11x 47
940:2x 2x 5x 47
713:23x 31
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 47 = 1081
Therefore, the value for common factors is 1081.
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 = 294874682740/(1x1081)
LCM = 294874682740/1081
LCM = 272779540
Thus, we can understand that the LCM of 517,940,713,851 is 272779540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 940, 713, 851
1. What is the LCM of 517, 940, 713, 851?
Answer: LCM of 517, 940, 713, 851 is 272779540.
2. How to calculate the LCM of 517, 940, 713, 851?
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 517, 940, 713, 851.
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}.