LCM of 827, 468, 345, 988, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 468, 345, 988, 793 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 827, 468, 345, 988, 793. So, keep reading to learn more.
Given numbers are 827,468,345,988,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,468,345,988,793 is 51586093260.
Find LCM of 827,468,345,988,793 with Prime Factorization
| 2 | 827, 468, 345, 988, 793 |
| 2 | 827, 234, 345, 494, 793 |
| 3 | 827, 117, 345, 247, 793 |
| 13 | 827, 39, 115, 247, 793 |
| 827, 3, 115, 19, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 827 x 3 x 115 x 19 x 61 = 51586093260
Therefore, the lowest common multiple of 827,468,345,988,793 is 51586093260.
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.
827 x 468 x 345 x 988 x 793 = 104616597131280
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.
827 : 1, 827
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
345 : 1, 3, 5, 15, 23, 69, 115, 345
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,468,345,988,793, is 1.
Now, the common factors can be found like this.
827:827
468:2x 2x 3x 3x 13
345:3x 5x 23
988:2x 2x 13x 19
793:13x 61
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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 104616597131280/(1x2028)
LCM = 104616597131280/2028
LCM = 51586093260
Thus, we can understand that the LCM of 827,468,345,988,793 is 51586093260.
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FAQs on LCM of 827, 468, 345, 988, 793
1. What is the LCM of 827, 468, 345, 988, 793?
Answer: LCM of 827, 468, 345, 988, 793 is 51586093260.
2. How to calculate the LCM of 827, 468, 345, 988, 793?
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 827, 468, 345, 988, 793.
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}.