LCM of 455, 209, 741, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 209, 741, 505 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 455, 209, 741, 505. So, keep reading to learn more.
Given numbers are 455,209,741,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,209,741,505 is 28813785.
Find LCM of 455,209,741,505 with Prime Factorization
| 5 | 455, 209, 741, 505 |
| 13 | 91, 209, 741, 101 |
| 19 | 7, 209, 57, 101 |
| 7, 11, 3, 101 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 19 x 7 x 11 x 3 x 101 = 28813785
Therefore, the lowest common multiple of 455,209,741,505 is 28813785.
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.
455 x 209 x 741 x 505 = 35585024475
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
209 : 1, 11, 19, 209
741 : 1, 3, 13, 19, 39, 57, 247, 741
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,209,741,505, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
209:11x 19
741:3x 13x 19
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 19 = 1235
Therefore, the value for common factors is 1235.
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 = 35585024475/(1x1235)
LCM = 35585024475/1235
LCM = 28813785
Thus, we can understand that the LCM of 455,209,741,505 is 28813785.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 455, 209, 741, 505
1. What is the LCM of 455, 209, 741, 505?
Answer: LCM of 455, 209, 741, 505 is 28813785.
2. How to calculate the LCM of 455, 209, 741, 505?
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 455, 209, 741, 505.
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}.