LCM of 819, 138, 115, 822, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 138, 115, 822, 357 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, 138, 115, 822, 357. So, keep reading to learn more.
Given numbers are 819,138,115,822,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,138,115,822,357 is 438713730.
Find LCM of 819,138,115,822,357 with Prime Factorization
| 2 | 819, 138, 115, 822, 357 |
| 3 | 819, 69, 115, 411, 357 |
| 7 | 273, 23, 115, 137, 119 |
| 23 | 39, 23, 115, 137, 17 |
| 39, 1, 5, 137, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 39 x 1 x 5 x 137 x 17 = 438713730
Therefore, the lowest common multiple of 819,138,115,822,357 is 438713730.
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 138 x 115 x 822 x 357 = 3814177168620
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
115 : 1, 5, 23, 115
822 : 1, 2, 3, 6, 137, 274, 411, 822
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,138,115,822,357, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
138:2x 3x 23
115:5x 23
822:2x 3x 137
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 23 = 8694
Therefore, the value for common factors is 8694.
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 = 3814177168620/(1x8694)
LCM = 3814177168620/8694
LCM = 438713730
Thus, we can understand that the LCM of 819,138,115,822,357 is 438713730.
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FAQs on LCM of 819, 138, 115, 822, 357
1. What is the LCM of 819, 138, 115, 822, 357?
Answer: LCM of 819, 138, 115, 822, 357 is 438713730.
2. How to calculate the LCM of 819, 138, 115, 822, 357?
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, 138, 115, 822, 357.
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}.