LCM of 819, 468, 693, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 468, 693, 341 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, 468, 693, 341. So, keep reading to learn more.
Given numbers are 819,468,693,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,468,693,341 is 1117116.
Find LCM of 819,468,693,341 with Prime Factorization
| 3 | 819, 468, 693, 341 |
| 3 | 273, 156, 231, 341 |
| 7 | 91, 52, 77, 341 |
| 11 | 13, 52, 11, 341 |
| 13 | 13, 52, 1, 31 |
| 1, 4, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 11 x 13 x 1 x 4 x 1 x 31 = 1117116
Therefore, the lowest common multiple of 819,468,693,341 is 1117116.
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 468 x 693 x 341 = 90576882396
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,468,693,341, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
468:2x 2x 3x 3x 13
693:3x 3x 7x 11
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7x 11x 13 = 81081
Therefore, the value for common factors is 81081.
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 = 90576882396/(1x81081)
LCM = 90576882396/81081
LCM = 1117116
Thus, we can understand that the LCM of 819,468,693,341 is 1117116.
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FAQs on LCM of 819, 468, 693, 341
1. What is the LCM of 819, 468, 693, 341?
Answer: LCM of 819, 468, 693, 341 is 1117116.
2. How to calculate the LCM of 819, 468, 693, 341?
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, 468, 693, 341.
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}.