LCM of 793, 680, 180, 145, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 680, 180, 145, 866 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 793, 680, 180, 145, 866. So, keep reading to learn more.
Given numbers are 793,680,180,145,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,680,180,145,866 is 60941130120.
Find LCM of 793,680,180,145,866 with Prime Factorization
| 2 | 793, 680, 180, 145, 866 |
| 2 | 793, 340, 90, 145, 433 |
| 5 | 793, 170, 45, 145, 433 |
| 793, 34, 9, 29, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 793 x 34 x 9 x 29 x 433 = 60941130120
Therefore, the lowest common multiple of 793,680,180,145,866 is 60941130120.
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.
793 x 680 x 180 x 145 x 866 = 12188226024000
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.
793 : 1, 13, 61, 793
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
145 : 1, 5, 29, 145
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,680,180,145,866, is 1.
Now, the common factors can be found like this.
793:13x 61
680:2x 2x 2x 5x 17
180:2x 2x 3x 3x 5
145:5x 29
866:2x 433
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 12188226024000/(1x200)
LCM = 12188226024000/200
LCM = 60941130120
Thus, we can understand that the LCM of 793,680,180,145,866 is 60941130120.
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FAQs on LCM of 793, 680, 180, 145, 866
1. What is the LCM of 793, 680, 180, 145, 866?
Answer: LCM of 793, 680, 180, 145, 866 is 60941130120.
2. How to calculate the LCM of 793, 680, 180, 145, 866?
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 793, 680, 180, 145, 866.
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}.