LCM of 838, 112, 707, 505, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 112, 707, 505, 717 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 838, 112, 707, 505, 717. So, keep reading to learn more.
Given numbers are 838,112,707,505,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,112,707,505,717 is 16991924880.
Find LCM of 838,112,707,505,717 with Prime Factorization
| 2 | 838, 112, 707, 505, 717 |
| 7 | 419, 56, 707, 505, 717 |
| 101 | 419, 8, 101, 505, 717 |
| 419, 8, 1, 5, 717 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 101 x 419 x 8 x 1 x 5 x 717 = 16991924880
Therefore, the lowest common multiple of 838,112,707,505,717 is 16991924880.
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.
838 x 112 x 707 x 505 x 717 = 24026581780320
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.
838 : 1, 2, 419, 838
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
707 : 1, 7, 101, 707
505 : 1, 5, 101, 505
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,112,707,505,717, is 1.
Now, the common factors can be found like this.
838:2x 419
112:2x 2x 2x 2x 7
707:7x 101
505:5x 101
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 101 = 1414
Therefore, the value for common factors is 1414.
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 = 24026581780320/(1x1414)
LCM = 24026581780320/1414
LCM = 16991924880
Thus, we can understand that the LCM of 838,112,707,505,717 is 16991924880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 112, 707, 505, 717
1. What is the LCM of 838, 112, 707, 505, 717?
Answer: LCM of 838, 112, 707, 505, 717 is 16991924880.
2. How to calculate the LCM of 838, 112, 707, 505, 717?
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 838, 112, 707, 505, 717.
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}.