LCM of 799, 913, 378, 463, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 913, 378, 463, 518 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 799, 913, 378, 463, 518. So, keep reading to learn more.
Given numbers are 799,913,378,463,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,913,378,463,518 is 4723806199266.
Find LCM of 799,913,378,463,518 with Prime Factorization
| 2 | 799, 913, 378, 463, 518 |
| 7 | 799, 913, 189, 463, 259 |
| 799, 913, 27, 463, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 799 x 913 x 27 x 463 x 37 = 4723806199266
Therefore, the lowest common multiple of 799,913,378,463,518 is 4723806199266.
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.
799 x 913 x 378 x 463 x 518 = 66133286789724
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.
799 : 1, 17, 47, 799
913 : 1, 11, 83, 913
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
463 : 1, 463
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,913,378,463,518, is 1.
Now, the common factors can be found like this.
799:17x 47
913:11x 83
378:2x 3x 3x 3x 7
463:463
518:2x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 66133286789724/(1x14)
LCM = 66133286789724/14
LCM = 4723806199266
Thus, we can understand that the LCM of 799,913,378,463,518 is 4723806199266.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 799, 913, 378, 463, 518
1. What is the LCM of 799, 913, 378, 463, 518?
Answer: LCM of 799, 913, 378, 463, 518 is 4723806199266.
2. How to calculate the LCM of 799, 913, 378, 463, 518?
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 799, 913, 378, 463, 518.
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}.