LCM of 897, 858, 959, 637, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 858, 959, 637, 913 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 897, 858, 959, 637, 913. So, keep reading to learn more.
Given numbers are 897,858,959,637,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,858,959,637,913 is 10995370386.
Find LCM of 897,858,959,637,913 with Prime Factorization
| 3 | 897, 858, 959, 637, 913 |
| 7 | 299, 286, 959, 637, 913 |
| 11 | 299, 286, 137, 91, 913 |
| 13 | 299, 26, 137, 91, 83 |
| 23, 2, 137, 7, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 13 x 23 x 2 x 137 x 7 x 83 = 10995370386
Therefore, the lowest common multiple of 897,858,959,637,913 is 10995370386.
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.
897 x 858 x 959 x 637 x 913 = 429248264499054
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
959 : 1, 7, 137, 959
637 : 1, 7, 13, 49, 91, 637
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,858,959,637,913, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
858:2x 3x 11x 13
959:7x 137
637:7x 7x 13
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 13x 13 = 39039
Therefore, the value for common factors is 39039.
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 = 429248264499054/(1x39039)
LCM = 429248264499054/39039
LCM = 10995370386
Thus, we can understand that the LCM of 897,858,959,637,913 is 10995370386.
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FAQs on LCM of 897, 858, 959, 637, 913
1. What is the LCM of 897, 858, 959, 637, 913?
Answer: LCM of 897, 858, 959, 637, 913 is 10995370386.
2. How to calculate the LCM of 897, 858, 959, 637, 913?
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 897, 858, 959, 637, 913.
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}.