LCM of 935, 533, 871, 704, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 533, 871, 704, 814 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 935, 533, 871, 704, 814. So, keep reading to learn more.
Given numbers are 935,533,871,704,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,533,871,704,814 is 79067010880.
Find LCM of 935,533,871,704,814 with Prime Factorization
| 2 | 935, 533, 871, 704, 814 |
| 11 | 935, 533, 871, 352, 407 |
| 13 | 85, 533, 871, 32, 37 |
| 85, 41, 67, 32, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 85 x 41 x 67 x 32 x 37 = 79067010880
Therefore, the lowest common multiple of 935,533,871,704,814 is 79067010880.
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.
935 x 533 x 871 x 704 x 814 = 248744816228480
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
533 : 1, 13, 41, 533
871 : 1, 13, 67, 871
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,533,871,704,814, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
533:13x 41
871:13x 67
704:2x 2x 2x 2x 2x 2x 11
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 13 = 3146
Therefore, the value for common factors is 3146.
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 = 248744816228480/(1x3146)
LCM = 248744816228480/3146
LCM = 79067010880
Thus, we can understand that the LCM of 935,533,871,704,814 is 79067010880.
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FAQs on LCM of 935, 533, 871, 704, 814
1. What is the LCM of 935, 533, 871, 704, 814?
Answer: LCM of 935, 533, 871, 704, 814 is 79067010880.
2. How to calculate the LCM of 935, 533, 871, 704, 814?
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 935, 533, 871, 704, 814.
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}.