LCM of 793, 195, 610, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 195, 610, 366 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, 195, 610, 366. So, keep reading to learn more.
Given numbers are 793,195,610,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,195,610,366 is 23790.
Find LCM of 793,195,610,366 with Prime Factorization
| 2 | 793, 195, 610, 366 |
| 3 | 793, 195, 305, 183 |
| 5 | 793, 65, 305, 61 |
| 13 | 793, 13, 61, 61 |
| 61 | 61, 1, 61, 61 |
| 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 61 x 1 x 1 x 1 x 1 = 23790
Therefore, the lowest common multiple of 793,195,610,366 is 23790.
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 195 x 610 x 366 = 34523810100
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
610 : 1, 2, 5, 10, 61, 122, 305, 610
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,195,610,366, is 1.
Now, the common factors can be found like this.
793:13x 61
195:3x 5x 13
610:2x 5x 61
366:2x 3x 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 3x 5x 13x 61x 61 = 1451190
Therefore, the value for common factors is 1451190.
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 = 34523810100/(1x1451190)
LCM = 34523810100/1451190
LCM = 23790
Thus, we can understand that the LCM of 793,195,610,366 is 23790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 793, 195, 610, 366
1. What is the LCM of 793, 195, 610, 366?
Answer: LCM of 793, 195, 610, 366 is 23790.
2. How to calculate the LCM of 793, 195, 610, 366?
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, 195, 610, 366.
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}.