LCM of 703, 305, 954, 418, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 305, 954, 418, 891 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 703, 305, 954, 418, 891. So, keep reading to learn more.
Given numbers are 703,305,954,418,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,305,954,418,891 is 20250639090.
Find LCM of 703,305,954,418,891 with Prime Factorization
| 2 | 703, 305, 954, 418, 891 |
| 3 | 703, 305, 477, 209, 891 |
| 3 | 703, 305, 159, 209, 297 |
| 11 | 703, 305, 53, 209, 99 |
| 19 | 703, 305, 53, 19, 9 |
| 37, 305, 53, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 37 x 305 x 53 x 1 x 9 = 20250639090
Therefore, the lowest common multiple of 703,305,954,418,891 is 20250639090.
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.
703 x 305 x 954 x 418 x 891 = 76182904256580
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.
703 : 1, 19, 37, 703
305 : 1, 5, 61, 305
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
418 : 1, 2, 11, 19, 22, 38, 209, 418
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,305,954,418,891, is 1.
Now, the common factors can be found like this.
703:19x 37
305:5x 61
954:2x 3x 3x 53
418:2x 11x 19
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 19 = 3762
Therefore, the value for common factors is 3762.
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 = 76182904256580/(1x3762)
LCM = 76182904256580/3762
LCM = 20250639090
Thus, we can understand that the LCM of 703,305,954,418,891 is 20250639090.
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FAQs on LCM of 703, 305, 954, 418, 891
1. What is the LCM of 703, 305, 954, 418, 891?
Answer: LCM of 703, 305, 954, 418, 891 is 20250639090.
2. How to calculate the LCM of 703, 305, 954, 418, 891?
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 703, 305, 954, 418, 891.
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}.