LCM of 793, 194, 820, 195, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 194, 820, 195, 582 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, 194, 820, 195, 582. So, keep reading to learn more.
Given numbers are 793,194,820,195,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,194,820,195,582 is 189225660.
Find LCM of 793,194,820,195,582 with Prime Factorization
| 2 | 793, 194, 820, 195, 582 |
| 3 | 793, 97, 410, 195, 291 |
| 5 | 793, 97, 410, 65, 97 |
| 13 | 793, 97, 82, 13, 97 |
| 97 | 61, 97, 82, 1, 97 |
| 61, 1, 82, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 97 x 61 x 1 x 82 x 1 x 1 = 189225660
Therefore, the lowest common multiple of 793,194,820,195,582 is 189225660.
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 194 x 820 x 195 x 582 = 14316813435600
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
194 : 1, 2, 97, 194
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
195 : 1, 3, 5, 13, 15, 39, 65, 195
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,194,820,195,582, is 1.
Now, the common factors can be found like this.
793:13x 61
194:2x 97
820:2x 2x 5x 41
195:3x 5x 13
582:2x 3x 97
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 5x 13x 97 = 75660
Therefore, the value for common factors is 75660.
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 = 14316813435600/(1x75660)
LCM = 14316813435600/75660
LCM = 189225660
Thus, we can understand that the LCM of 793,194,820,195,582 is 189225660.
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FAQs on LCM of 793, 194, 820, 195, 582
1. What is the LCM of 793, 194, 820, 195, 582?
Answer: LCM of 793, 194, 820, 195, 582 is 189225660.
2. How to calculate the LCM of 793, 194, 820, 195, 582?
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, 194, 820, 195, 582.
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}.