LCM of 935, 814, 869, 808, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 814, 869, 808, 269 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, 814, 869, 808, 269. So, keep reading to learn more.
Given numbers are 935,814,869,808,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,814,869,808,269 is 594024102760.
Find LCM of 935,814,869,808,269 with Prime Factorization
| 2 | 935, 814, 869, 808, 269 |
| 11 | 935, 407, 869, 404, 269 |
| 85, 37, 79, 404, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 85 x 37 x 79 x 404 x 269 = 594024102760
Therefore, the lowest common multiple of 935,814,869,808,269 is 594024102760.
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 814 x 869 x 808 x 269 = 143753832867920
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
869 : 1, 11, 79, 869
808 : 1, 2, 4, 8, 101, 202, 404, 808
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,814,869,808,269, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
814:2x 11x 37
869:11x 79
808:2x 2x 2x 101
269:269
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 11 = 242
Therefore, the value for common factors is 242.
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 = 143753832867920/(1x242)
LCM = 143753832867920/242
LCM = 594024102760
Thus, we can understand that the LCM of 935,814,869,808,269 is 594024102760.
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FAQs on LCM of 935, 814, 869, 808, 269
1. What is the LCM of 935, 814, 869, 808, 269?
Answer: LCM of 935, 814, 869, 808, 269 is 594024102760.
2. How to calculate the LCM of 935, 814, 869, 808, 269?
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, 814, 869, 808, 269.
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}.