LCM of 517, 796, 138, 517, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 796, 138, 517, 411 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, 796, 138, 517, 411. So, keep reading to learn more.
Given numbers are 517,796,138,517,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,796,138,517,411 is 3890211996.
Find LCM of 517,796,138,517,411 with Prime Factorization
| 2 | 517, 796, 138, 517, 411 |
| 3 | 517, 398, 69, 517, 411 |
| 11 | 517, 398, 23, 517, 137 |
| 47 | 47, 398, 23, 47, 137 |
| 1, 398, 23, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 47 x 1 x 398 x 23 x 1 x 137 = 3890211996
Therefore, the lowest common multiple of 517,796,138,517,411 is 3890211996.
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 796 x 138 x 517 x 411 = 12067437611592
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
796 : 1, 2, 4, 199, 398, 796
138 : 1, 2, 3, 6, 23, 46, 69, 138
517 : 1, 11, 47, 517
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,796,138,517,411, is 1.
Now, the common factors can be found like this.
517:11x 47
796:2x 2x 199
138:2x 3x 23
517:11x 47
411:3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 47 = 3102
Therefore, the value for common factors is 3102.
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 = 12067437611592/(1x3102)
LCM = 12067437611592/3102
LCM = 3890211996
Thus, we can understand that the LCM of 517,796,138,517,411 is 3890211996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 796, 138, 517, 411
1. What is the LCM of 517, 796, 138, 517, 411?
Answer: LCM of 517, 796, 138, 517, 411 is 3890211996.
2. How to calculate the LCM of 517, 796, 138, 517, 411?
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, 796, 138, 517, 411.
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}.