LCM of 914, 817, 285, 231, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 817, 285, 231, 969 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 914, 817, 285, 231, 969. So, keep reading to learn more.
Given numbers are 914,817,285,231,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,817,285,231,969 is 14662200630.
Find LCM of 914,817,285,231,969 with Prime Factorization
| 3 | 914, 817, 285, 231, 969 |
| 19 | 914, 817, 95, 77, 323 |
| 914, 43, 5, 77, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 914 x 43 x 5 x 77 x 17 = 14662200630
Therefore, the lowest common multiple of 914,817,285,231,969 is 14662200630.
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.
914 x 817 x 285 x 231 x 969 = 47637489846870
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.
914 : 1, 2, 457, 914
817 : 1, 19, 43, 817
285 : 1, 3, 5, 15, 19, 57, 95, 285
231 : 1, 3, 7, 11, 21, 33, 77, 231
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,817,285,231,969, is 1.
Now, the common factors can be found like this.
914:2x 457
817:19x 43
285:3x 5x 19
231:3x 7x 11
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19x 19 = 3249
Therefore, the value for common factors is 3249.
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 = 47637489846870/(1x3249)
LCM = 47637489846870/3249
LCM = 14662200630
Thus, we can understand that the LCM of 914,817,285,231,969 is 14662200630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 817, 285, 231, 969
1. What is the LCM of 914, 817, 285, 231, 969?
Answer: LCM of 914, 817, 285, 231, 969 is 14662200630.
2. How to calculate the LCM of 914, 817, 285, 231, 969?
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 914, 817, 285, 231, 969.
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}.