LCM of 819, 228, 209, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 228, 209, 306 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, 228, 209, 306. So, keep reading to learn more.
Given numbers are 819,228,209,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,228,209,306 is 11639628.
Find LCM of 819,228,209,306 with Prime Factorization
| 2 | 819, 228, 209, 306 |
| 3 | 819, 114, 209, 153 |
| 3 | 273, 38, 209, 51 |
| 19 | 91, 38, 209, 17 |
| 91, 2, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 91 x 2 x 11 x 17 = 11639628
Therefore, the lowest common multiple of 819,228,209,306 is 11639628.
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 228 x 209 x 306 = 11942258328
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
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
209 : 1, 11, 19, 209
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,228,209,306, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
228:2x 2x 3x 19
209:11x 19
306:2x 3x 3x 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 19 = 1026
Therefore, the value for common factors is 1026.
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 = 11942258328/(1x1026)
LCM = 11942258328/1026
LCM = 11639628
Thus, we can understand that the LCM of 819,228,209,306 is 11639628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 819, 228, 209, 306
1. What is the LCM of 819, 228, 209, 306?
Answer: LCM of 819, 228, 209, 306 is 11639628.
2. How to calculate the LCM of 819, 228, 209, 306?
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, 228, 209, 306.
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}.