LCM of 505, 451, 969, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 451, 969, 675 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 505, 451, 969, 675. So, keep reading to learn more.
Given numbers are 505,451,969,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,451,969,675 is 9931256775.
Find LCM of 505,451,969,675 with Prime Factorization
| 3 | 505, 451, 969, 675 |
| 5 | 505, 451, 323, 225 |
| 101, 451, 323, 45 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 101 x 451 x 323 x 45 = 9931256775
Therefore, the lowest common multiple of 505,451,969,675 is 9931256775.
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.
505 x 451 x 969 x 675 = 148968851625
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.
505 : 1, 5, 101, 505
451 : 1, 11, 41, 451
969 : 1, 3, 17, 19, 51, 57, 323, 969
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,451,969,675, is 1.
Now, the common factors can be found like this.
505:5x 101
451:11x 41
969:3x 17x 19
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 148968851625/(1x15)
LCM = 148968851625/15
LCM = 9931256775
Thus, we can understand that the LCM of 505,451,969,675 is 9931256775.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 505, 451, 969, 675
1. What is the LCM of 505, 451, 969, 675?
Answer: LCM of 505, 451, 969, 675 is 9931256775.
2. How to calculate the LCM of 505, 451, 969, 675?
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 505, 451, 969, 675.
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}.