LCM of 814, 415, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 415, 338 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 814, 415, 338. So, keep reading to learn more.
Given numbers are 814,415,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,415,338 is 57089890.
Find LCM of 814,415,338 with Prime Factorization
| 2 | 814, 415, 338 |
| 407, 415, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 415 x 169 = 57089890
Therefore, the lowest common multiple of 814,415,338 is 57089890.
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.
814 x 415 x 338 = 114179780
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
415 : 1, 5, 83, 415
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,415,338, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
415:5x 83
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 114179780/(1x2)
LCM = 114179780/2
LCM = 57089890
Thus, we can understand that the LCM of 814,415,338 is 57089890.
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FAQs on LCM of 814, 415, 338
1. What is the LCM of 814, 415, 338?
Answer: LCM of 814, 415, 338 is 57089890.
2. How to calculate the LCM of 814, 415, 338?
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 814, 415, 338.
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}.