LCM of 339, 517, 836, 366, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 517, 836, 366, 438 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 339, 517, 836, 366, 438. So, keep reading to learn more.
Given numbers are 339,517,836,366,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,517,836,366,438 is 59313906564.
Find LCM of 339,517,836,366,438 with Prime Factorization
| 2 | 339, 517, 836, 366, 438 |
| 3 | 339, 517, 418, 183, 219 |
| 11 | 113, 517, 418, 61, 73 |
| 113, 47, 38, 61, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 113 x 47 x 38 x 61 x 73 = 59313906564
Therefore, the lowest common multiple of 339,517,836,366,438 is 59313906564.
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.
339 x 517 x 836 x 366 x 438 = 23488306999344
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.
339 : 1, 3, 113, 339
517 : 1, 11, 47, 517
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
366 : 1, 2, 3, 6, 61, 122, 183, 366
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,517,836,366,438, is 1.
Now, the common factors can be found like this.
339:3x 113
517:11x 47
836:2x 2x 11x 19
366:2x 3x 61
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 23488306999344/(1x396)
LCM = 23488306999344/396
LCM = 59313906564
Thus, we can understand that the LCM of 339,517,836,366,438 is 59313906564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 517, 836, 366, 438
1. What is the LCM of 339, 517, 836, 366, 438?
Answer: LCM of 339, 517, 836, 366, 438 is 59313906564.
2. How to calculate the LCM of 339, 517, 836, 366, 438?
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 339, 517, 836, 366, 438.
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}.