LCM of 110, 505, 561, 401, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 505, 561, 401, 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 110, 505, 561, 401, 493. So, keep reading to learn more.
Given numbers are 110,505,561,401,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,505,561,401,493 is 6589107690.
Find LCM of 110,505,561,401,493 with Prime Factorization
| 5 | 110, 505, 561, 401, 493 |
| 11 | 22, 101, 561, 401, 493 |
| 17 | 2, 101, 51, 401, 493 |
| 2, 101, 3, 401, 29 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 2 x 101 x 3 x 401 x 29 = 6589107690
Therefore, the lowest common multiple of 110,505,561,401,493 is 6589107690.
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.
110 x 505 x 561 x 401 x 493 = 6160815690150
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
505 : 1, 5, 101, 505
561 : 1, 3, 11, 17, 33, 51, 187, 561
401 : 1, 401
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,505,561,401,493, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
505:5x 101
561:3x 11x 17
401:401
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.
5x 11x 17 = 935
Therefore, the value for common factors is 935.
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 = 6160815690150/(1x935)
LCM = 6160815690150/935
LCM = 6589107690
Thus, we can understand that the LCM of 110,505,561,401,493 is 6589107690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 505, 561, 401, 493
1. What is the LCM of 110, 505, 561, 401, 493?
Answer: LCM of 110, 505, 561, 401, 493 is 6589107690.
2. How to calculate the LCM of 110, 505, 561, 401, 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 110, 505, 561, 401, 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}.