LCM of 123, 363, 504, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 363, 504, 819 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 123, 363, 504, 819. So, keep reading to learn more.
Given numbers are 123,363,504,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,363,504,819 is 32504472.
Find LCM of 123,363,504,819 with Prime Factorization
| 3 | 123, 363, 504, 819 |
| 3 | 41, 121, 168, 273 |
| 7 | 41, 121, 56, 91 |
| 41, 121, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 41 x 121 x 8 x 13 = 32504472
Therefore, the lowest common multiple of 123,363,504,819 is 32504472.
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.
123 x 363 x 504 x 819 = 18430035624
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.
123 : 1, 3, 41, 123
363 : 1, 3, 11, 33, 121, 363
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,363,504,819, is 3.
Now, the common factors can be found like this.
123:3x 41
363:3x 11x 11
504:2x 2x 2x 3x 3x 7
819:3x 3x 7x 13
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 7 = 189
Therefore, the value for common factors is 189.
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 = 18430035624/(3x189)
LCM = 18430035624/567
LCM = 32504472
Thus, we can understand that the LCM of 123,363,504,819 is 32504472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 123, 363, 504, 819
1. What is the LCM of 123, 363, 504, 819?
Answer: LCM of 123, 363, 504, 819 is 32504472.
2. How to calculate the LCM of 123, 363, 504, 819?
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 123, 363, 504, 819.
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}.