LCM of 193, 789, 561, 935, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 789, 561, 935, 493 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 193, 789, 561, 935, 493. So, keep reading to learn more.
Given numbers are 193,789,561,935,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,789,561,935,493 is 4128990855.
Find LCM of 193,789,561,935,493 with Prime Factorization
| 3 | 193, 789, 561, 935, 493 |
| 11 | 193, 263, 187, 935, 493 |
| 17 | 193, 263, 17, 85, 493 |
| 193, 263, 1, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 193 x 263 x 1 x 5 x 29 = 4128990855
Therefore, the lowest common multiple of 193,789,561,935,493 is 4128990855.
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.
193 x 789 x 561 x 935 x 493 = 39378185784135
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.
193 : 1, 193
789 : 1, 3, 263, 789
561 : 1, 3, 11, 17, 33, 51, 187, 561
935 : 1, 5, 11, 17, 55, 85, 187, 935
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,789,561,935,493, is 1.
Now, the common factors can be found like this.
193:193
789:3x 263
561:3x 11x 17
935:5x 11x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17x 17 = 9537
Therefore, the value for common factors is 9537.
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 = 39378185784135/(1x9537)
LCM = 39378185784135/9537
LCM = 4128990855
Thus, we can understand that the LCM of 193,789,561,935,493 is 4128990855.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 789, 561, 935, 493
1. What is the LCM of 193, 789, 561, 935, 493?
Answer: LCM of 193, 789, 561, 935, 493 is 4128990855.
2. How to calculate the LCM of 193, 789, 561, 935, 493?
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 193, 789, 561, 935, 493.
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}.