LCM of 731, 903, 505, 867, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 903, 505, 867, 858 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 731, 903, 505, 867, 858. So, keep reading to learn more.
Given numbers are 731,903,505,867,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,903,505,867,858 is 37691463810.
Find LCM of 731,903,505,867,858 with Prime Factorization
| 3 | 731, 903, 505, 867, 858 |
| 17 | 731, 301, 505, 289, 286 |
| 43 | 43, 301, 505, 17, 286 |
| 1, 7, 505, 17, 286 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 43 x 1 x 7 x 505 x 17 x 286 = 37691463810
Therefore, the lowest common multiple of 731,903,505,867,858 is 37691463810.
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.
731 x 903 x 505 x 867 x 858 = 247972140405990
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.
731 : 1, 17, 43, 731
903 : 1, 3, 7, 21, 43, 129, 301, 903
505 : 1, 5, 101, 505
867 : 1, 3, 17, 51, 289, 867
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,903,505,867,858, is 1.
Now, the common factors can be found like this.
731:17x 43
903:3x 7x 43
505:5x 101
867:3x 17x 17
858:2x 3x 11x 13
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 17x 43 = 6579
Therefore, the value for common factors is 6579.
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 = 247972140405990/(1x6579)
LCM = 247972140405990/6579
LCM = 37691463810
Thus, we can understand that the LCM of 731,903,505,867,858 is 37691463810.
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FAQs on LCM of 731, 903, 505, 867, 858
1. What is the LCM of 731, 903, 505, 867, 858?
Answer: LCM of 731, 903, 505, 867, 858 is 37691463810.
2. How to calculate the LCM of 731, 903, 505, 867, 858?
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 731, 903, 505, 867, 858.
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}.