LCM of 338, 407, 814, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 407, 814, 110 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 338, 407, 814, 110. So, keep reading to learn more.
Given numbers are 338,407,814,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,407,814,110 is 687830.
Find LCM of 338,407,814,110 with Prime Factorization
| 2 | 338, 407, 814, 110 |
| 11 | 169, 407, 407, 55 |
| 37 | 169, 37, 37, 5 |
| 169, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 169 x 1 x 1 x 5 = 687830
Therefore, the lowest common multiple of 338,407,814,110 is 687830.
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.
338 x 407 x 814 x 110 = 12317659640
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.
338 : 1, 2, 13, 26, 169, 338
407 : 1, 11, 37, 407
814 : 1, 2, 11, 22, 37, 74, 407, 814
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,407,814,110, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
407:11x 37
814:2x 11x 37
110:2x 5x 11
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 11x 11x 37 = 17908
Therefore, the value for common factors is 17908.
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 = 12317659640/(1x17908)
LCM = 12317659640/17908
LCM = 687830
Thus, we can understand that the LCM of 338,407,814,110 is 687830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 407, 814, 110
1. What is the LCM of 338, 407, 814, 110?
Answer: LCM of 338, 407, 814, 110 is 687830.
2. How to calculate the LCM of 338, 407, 814, 110?
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 338, 407, 814, 110.
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}.