LCM of 819, 744, 317, 436, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 744, 317, 436, 317 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 819, 744, 317, 436, 317. So, keep reading to learn more.
Given numbers are 819,744,317,436,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,744,317,436,317 is 7018128936.
Find LCM of 819,744,317,436,317 with Prime Factorization
| 2 | 819, 744, 317, 436, 317 |
| 2 | 819, 372, 317, 218, 317 |
| 3 | 819, 186, 317, 109, 317 |
| 317 | 273, 62, 317, 109, 317 |
| 273, 62, 1, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 317 x 273 x 62 x 1 x 109 x 1 = 7018128936
Therefore, the lowest common multiple of 819,744,317,436,317 is 7018128936.
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.
819 x 744 x 317 x 436 x 317 = 26696962472544
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
317 : 1, 317
436 : 1, 2, 4, 109, 218, 436
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,744,317,436,317, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
744:2x 2x 2x 3x 31
317:317
436:2x 2x 109
317:317
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 3x 317 = 3804
Therefore, the value for common factors is 3804.
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 = 26696962472544/(1x3804)
LCM = 26696962472544/3804
LCM = 7018128936
Thus, we can understand that the LCM of 819,744,317,436,317 is 7018128936.
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FAQs on LCM of 819, 744, 317, 436, 317
1. What is the LCM of 819, 744, 317, 436, 317?
Answer: LCM of 819, 744, 317, 436, 317 is 7018128936.
2. How to calculate the LCM of 819, 744, 317, 436, 317?
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 819, 744, 317, 436, 317.
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}.