LCM of 927, 917, 536, 289, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 917, 536, 289, 801 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 927, 917, 536, 289, 801. So, keep reading to learn more.
Given numbers are 927,917,536,289,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,917,536,289,801 is 11719301000904.
Find LCM of 927,917,536,289,801 with Prime Factorization
| 3 | 927, 917, 536, 289, 801 |
| 3 | 309, 917, 536, 289, 267 |
| 103, 917, 536, 289, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 103 x 917 x 536 x 289 x 89 = 11719301000904
Therefore, the lowest common multiple of 927,917,536,289,801 is 11719301000904.
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.
927 x 917 x 536 x 289 x 801 = 105473709008136
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.
927 : 1, 3, 9, 103, 309, 927
917 : 1, 7, 131, 917
536 : 1, 2, 4, 8, 67, 134, 268, 536
289 : 1, 17, 289
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,917,536,289,801, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
917:7x 131
536:2x 2x 2x 67
289:17x 17
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 105473709008136/(1x9)
LCM = 105473709008136/9
LCM = 11719301000904
Thus, we can understand that the LCM of 927,917,536,289,801 is 11719301000904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 927, 917, 536, 289, 801
1. What is the LCM of 927, 917, 536, 289, 801?
Answer: LCM of 927, 917, 536, 289, 801 is 11719301000904.
2. How to calculate the LCM of 927, 917, 536, 289, 801?
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 927, 917, 536, 289, 801.
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}.