LCM of 903, 731, 946, 664, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 731, 946, 664, 344 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 903, 731, 946, 664, 344. So, keep reading to learn more.
Given numbers are 903,731,946,664,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,731,946,664,344 is 112123704.
Find LCM of 903,731,946,664,344 with Prime Factorization
| 2 | 903, 731, 946, 664, 344 |
| 2 | 903, 731, 473, 332, 172 |
| 2 | 903, 731, 473, 166, 86 |
| 43 | 903, 731, 473, 83, 43 |
| 21, 17, 11, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 21 x 17 x 11 x 83 x 1 = 112123704
Therefore, the lowest common multiple of 903,731,946,664,344 is 112123704.
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.
903 x 731 x 946 x 664 x 344 = 142633909342848
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
731 : 1, 17, 43, 731
946 : 1, 2, 11, 22, 43, 86, 473, 946
664 : 1, 2, 4, 8, 83, 166, 332, 664
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,731,946,664,344, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
731:17x 43
946:2x 11x 43
664:2x 2x 2x 83
344:2x 2x 2x 43
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 2x 43x 43x 43 = 1272112
Therefore, the value for common factors is 1272112.
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 = 142633909342848/(1x1272112)
LCM = 142633909342848/1272112
LCM = 112123704
Thus, we can understand that the LCM of 903,731,946,664,344 is 112123704.
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FAQs on LCM of 903, 731, 946, 664, 344
1. What is the LCM of 903, 731, 946, 664, 344?
Answer: LCM of 903, 731, 946, 664, 344 is 112123704.
2. How to calculate the LCM of 903, 731, 946, 664, 344?
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 903, 731, 946, 664, 344.
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}.