LCM of 217, 519, 529, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 519, 529, 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 217, 519, 529, 519. So, keep reading to learn more.
Given numbers are 217,519,529,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,519,529,519 is 59577567.
Find LCM of 217,519,529,519 with Prime Factorization
| 3 | 217, 519, 529, 519 |
| 173 | 217, 173, 529, 173 |
| 217, 1, 529, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 173 x 217 x 1 x 529 x 1 = 59577567
Therefore, the lowest common multiple of 217,519,529,519 is 59577567.
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.
217 x 519 x 529 x 519 = 30920757273
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.
217 : 1, 7, 31, 217
519 : 1, 3, 173, 519
529 : 1, 23, 529
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,519,529,519, is 1.
Now, the common factors can be found like this.
217:7x 31
519:3x 173
529:23x 23
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 173 = 519
Therefore, the value for common factors is 519.
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 = 30920757273/(1x519)
LCM = 30920757273/519
LCM = 59577567
Thus, we can understand that the LCM of 217,519,529,519 is 59577567.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 519, 529, 519
1. What is the LCM of 217, 519, 529, 519?
Answer: LCM of 217, 519, 529, 519 is 59577567.
2. How to calculate the LCM of 217, 519, 529, 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 217, 519, 529, 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}.