LCM of 867, 317, 712, 408, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 317, 712, 408, 379 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 867, 317, 712, 408, 379. So, keep reading to learn more.
Given numbers are 867,317,712,408,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,317,712,408,379 is 74164754472.
Find LCM of 867,317,712,408,379 with Prime Factorization
| 2 | 867, 317, 712, 408, 379 |
| 2 | 867, 317, 356, 204, 379 |
| 2 | 867, 317, 178, 102, 379 |
| 3 | 867, 317, 89, 51, 379 |
| 17 | 289, 317, 89, 17, 379 |
| 1, 317, 89, 17, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 1 x 317 x 89 x 17 x 379 = 74164754472
Therefore, the lowest common multiple of 867,317,712,408,379 is 74164754472.
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.
867 x 317 x 712 x 408 x 379 = 30259219824576
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.
867 : 1, 3, 17, 51, 289, 867
317 : 1, 317
712 : 1, 2, 4, 8, 89, 178, 356, 712
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,317,712,408,379, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
317:317
712:2x 2x 2x 89
408:2x 2x 2x 3x 17
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 30259219824576/(1x408)
LCM = 30259219824576/408
LCM = 74164754472
Thus, we can understand that the LCM of 867,317,712,408,379 is 74164754472.
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FAQs on LCM of 867, 317, 712, 408, 379
1. What is the LCM of 867, 317, 712, 408, 379?
Answer: LCM of 867, 317, 712, 408, 379 is 74164754472.
2. How to calculate the LCM of 867, 317, 712, 408, 379?
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 867, 317, 712, 408, 379.
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}.