LCM of 919, 165, 561, 913, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 165, 561, 913, 915 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 919, 165, 561, 913, 915. So, keep reading to learn more.
Given numbers are 919,165,561,913,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,165,561,913,915 is 13051376085.
Find LCM of 919,165,561,913,915 with Prime Factorization
| 3 | 919, 165, 561, 913, 915 |
| 5 | 919, 55, 187, 913, 305 |
| 11 | 919, 11, 187, 913, 61 |
| 919, 1, 17, 83, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 919 x 1 x 17 x 83 x 61 = 13051376085
Therefore, the lowest common multiple of 919,165,561,913,915 is 13051376085.
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.
919 x 165 x 561 x 913 x 915 = 71064742782825
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.
919 : 1, 919
165 : 1, 3, 5, 11, 15, 33, 55, 165
561 : 1, 3, 11, 17, 33, 51, 187, 561
913 : 1, 11, 83, 913
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,165,561,913,915, is 1.
Now, the common factors can be found like this.
919:919
165:3x 5x 11
561:3x 11x 17
913:11x 83
915:3x 5x 61
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 5x 11x 11 = 5445
Therefore, the value for common factors is 5445.
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 = 71064742782825/(1x5445)
LCM = 71064742782825/5445
LCM = 13051376085
Thus, we can understand that the LCM of 919,165,561,913,915 is 13051376085.
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FAQs on LCM of 919, 165, 561, 913, 915
1. What is the LCM of 919, 165, 561, 913, 915?
Answer: LCM of 919, 165, 561, 913, 915 is 13051376085.
2. How to calculate the LCM of 919, 165, 561, 913, 915?
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 919, 165, 561, 913, 915.
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}.