Find the LCM of 505, 200, 505, 707, 661 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, 200, 505, 707, 661. So, keep reading to learn more.
Given numbers are 505,200,505,707,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,200,505,707,661 is 93465400.
Find LCM of 505,200,505,707,661 with Prime Factorization
5 | 505, 200, 505, 707, 661 |
101 | 101, 40, 101, 707, 661 |
1, 40, 1, 7, 661 |
Multiply the prime numbers at the bottom and the left side.
5 x 101 x 1 x 40 x 1 x 7 x 661 = 93465400
Therefore, the lowest common multiple of 505,200,505,707,661 is 93465400.
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 200 x 505 x 707 x 661 = 23836013635000
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
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
505 : 1, 5, 101, 505
707 : 1, 7, 101, 707
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,200,505,707,661, is 1.
Now, the common factors can be found like this.
505:5x 101
200:2x 2x 2x 5x 5
505:5x 101
707:7x 101
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 101x 101 = 255025
Therefore, the value for common factors is 255025.
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 = 23836013635000/(1x255025)
LCM = 23836013635000/255025
LCM = 93465400
Thus, we can understand that the LCM of 505,200,505,707,661 is 93465400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 200, 505, 707, 661?
Answer: LCM of 505, 200, 505, 707, 661 is 93465400.
2. How to calculate the LCM of 505, 200, 505, 707, 661?
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, 200, 505, 707, 661.
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}.