LCM of 517, 381, 627, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 381, 627, 609 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 517, 381, 627, 609. So, keep reading to learn more.
Given numbers are 517,381,627,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,381,627,609 is 759740289.
Find LCM of 517,381,627,609 with Prime Factorization
| 3 | 517, 381, 627, 609 |
| 11 | 517, 127, 209, 203 |
| 47, 127, 19, 203 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 47 x 127 x 19 x 203 = 759740289
Therefore, the lowest common multiple of 517,381,627,609 is 759740289.
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.
517 x 381 x 627 x 609 = 75214288611
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.
517 : 1, 11, 47, 517
381 : 1, 3, 127, 381
627 : 1, 3, 11, 19, 33, 57, 209, 627
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,381,627,609, is 1.
Now, the common factors can be found like this.
517:11x 47
381:3x 127
627:3x 11x 19
609:3x 7x 29
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 11 = 99
Therefore, the value for common factors is 99.
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 = 75214288611/(1x99)
LCM = 75214288611/99
LCM = 759740289
Thus, we can understand that the LCM of 517,381,627,609 is 759740289.
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FAQs on LCM of 517, 381, 627, 609
1. What is the LCM of 517, 381, 627, 609?
Answer: LCM of 517, 381, 627, 609 is 759740289.
2. How to calculate the LCM of 517, 381, 627, 609?
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 517, 381, 627, 609.
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}.