LCM of 889, 214, 286, 819, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 214, 286, 819, 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 889, 214, 286, 819, 814. So, keep reading to learn more.
Given numbers are 889,214,286,819,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,214,286,819,814 is 9059324274.
Find LCM of 889,214,286,819,814 with Prime Factorization
| 2 | 889, 214, 286, 819, 814 |
| 7 | 889, 107, 143, 819, 407 |
| 11 | 127, 107, 143, 117, 407 |
| 13 | 127, 107, 13, 117, 37 |
| 127, 107, 1, 9, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 13 x 127 x 107 x 1 x 9 x 37 = 9059324274
Therefore, the lowest common multiple of 889,214,286,819,814 is 9059324274.
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.
889 x 214 x 286 x 819 x 814 = 36273534393096
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.
889 : 1, 7, 127, 889
214 : 1, 2, 107, 214
286 : 1, 2, 11, 13, 22, 26, 143, 286
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
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 889,214,286,819,814, is 1.
Now, the common factors can be found like this.
889:7x 127
214:2x 107
286:2x 11x 13
819:3x 3x 7x 13
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 2x 7x 11x 13 = 4004
Therefore, the value for common factors is 4004.
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 = 36273534393096/(1x4004)
LCM = 36273534393096/4004
LCM = 9059324274
Thus, we can understand that the LCM of 889,214,286,819,814 is 9059324274.
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FAQs on LCM of 889, 214, 286, 819, 814
1. What is the LCM of 889, 214, 286, 819, 814?
Answer: LCM of 889, 214, 286, 819, 814 is 9059324274.
2. How to calculate the LCM of 889, 214, 286, 819, 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 889, 214, 286, 819, 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}.