LCM of 477, 393, 369, 809, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 393, 369, 809, 519 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 477, 393, 369, 809, 519. So, keep reading to learn more.
Given numbers are 477,393,369,809,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,393,369,809,519 is 358565215419.
Find LCM of 477,393,369,809,519 with Prime Factorization
| 3 | 477, 393, 369, 809, 519 |
| 3 | 159, 131, 123, 809, 173 |
| 53, 131, 41, 809, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 53 x 131 x 41 x 809 x 173 = 358565215419
Therefore, the lowest common multiple of 477,393,369,809,519 is 358565215419.
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.
477 x 393 x 369 x 809 x 519 = 29043782448939
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.
477 : 1, 3, 9, 53, 159, 477
393 : 1, 3, 131, 393
369 : 1, 3, 9, 41, 123, 369
809 : 1, 809
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,393,369,809,519, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
393:3x 131
369:3x 3x 41
809:809
519:3x 173
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 3 = 81
Therefore, the value for common factors is 81.
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 = 29043782448939/(1x81)
LCM = 29043782448939/81
LCM = 358565215419
Thus, we can understand that the LCM of 477,393,369,809,519 is 358565215419.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 477, 393, 369, 809, 519
1. What is the LCM of 477, 393, 369, 809, 519?
Answer: LCM of 477, 393, 369, 809, 519 is 358565215419.
2. How to calculate the LCM of 477, 393, 369, 809, 519?
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 477, 393, 369, 809, 519.
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}.