LCM of 517, 117, 169, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 117, 169, 539 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, 117, 169, 539. So, keep reading to learn more.
Given numbers are 517,117,169,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,117,169,539 is 38531493.
Find LCM of 517,117,169,539 with Prime Factorization
| 11 | 517, 117, 169, 539 |
| 13 | 47, 117, 169, 49 |
| 47, 9, 13, 49 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 47 x 9 x 13 x 49 = 38531493
Therefore, the lowest common multiple of 517,117,169,539 is 38531493.
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 117 x 169 x 539 = 5510003499
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
117 : 1, 3, 9, 13, 39, 117
169 : 1, 13, 169
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,117,169,539, is 1.
Now, the common factors can be found like this.
517:11x 47
117:3x 3x 13
169:13x 13
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 5510003499/(1x143)
LCM = 5510003499/143
LCM = 38531493
Thus, we can understand that the LCM of 517,117,169,539 is 38531493.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 117, 169, 539
1. What is the LCM of 517, 117, 169, 539?
Answer: LCM of 517, 117, 169, 539 is 38531493.
2. How to calculate the LCM of 517, 117, 169, 539?
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, 117, 169, 539.
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}.