LCM of 836, 999, 208, 741, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 999, 208, 741, 914 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 836, 999, 208, 741, 914. So, keep reading to learn more.
Given numbers are 836,999,208,741,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,999,208,741,914 is 19846837296.
Find LCM of 836,999,208,741,914 with Prime Factorization
| 2 | 836, 999, 208, 741, 914 |
| 2 | 418, 999, 104, 741, 457 |
| 3 | 209, 999, 52, 741, 457 |
| 13 | 209, 333, 52, 247, 457 |
| 19 | 209, 333, 4, 19, 457 |
| 11, 333, 4, 1, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 11 x 333 x 4 x 1 x 457 = 19846837296
Therefore, the lowest common multiple of 836,999,208,741,914 is 19846837296.
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.
836 x 999 x 208 x 741 x 914 = 117652051490688
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
999 : 1, 3, 9, 27, 37, 111, 333, 999
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
741 : 1, 3, 13, 19, 39, 57, 247, 741
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,999,208,741,914, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
999:3x 3x 3x 37
208:2x 2x 2x 2x 13
741:3x 13x 19
914:2x 457
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 2x 3x 13x 19 = 5928
Therefore, the value for common factors is 5928.
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 = 117652051490688/(1x5928)
LCM = 117652051490688/5928
LCM = 19846837296
Thus, we can understand that the LCM of 836,999,208,741,914 is 19846837296.
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FAQs on LCM of 836, 999, 208, 741, 914
1. What is the LCM of 836, 999, 208, 741, 914?
Answer: LCM of 836, 999, 208, 741, 914 is 19846837296.
2. How to calculate the LCM of 836, 999, 208, 741, 914?
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 836, 999, 208, 741, 914.
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}.