Find the LCM of 505, 970, 825, 409 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, 970, 825, 409. So, keep reading to learn more.
Given numbers are 505,970,825,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,970,825,409 is 6611505450.
Find LCM of 505,970,825,409 with Prime Factorization
5 | 505, 970, 825, 409 |
101, 194, 165, 409 |
Multiply the prime numbers at the bottom and the left side.
5 x 101 x 194 x 165 x 409 = 6611505450
Therefore, the lowest common multiple of 505,970,825,409 is 6611505450.
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 970 x 825 x 409 = 165287636250
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
970 : 1, 2, 5, 10, 97, 194, 485, 970
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,970,825,409, is 1.
Now, the common factors can be found like this.
505:5x 101
970:2x 5x 97
825:3x 5x 5x 11
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 165287636250/(1x25)
LCM = 165287636250/25
LCM = 6611505450
Thus, we can understand that the LCM of 505,970,825,409 is 6611505450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 970, 825, 409?
Answer: LCM of 505, 970, 825, 409 is 6611505450.
2. How to calculate the LCM of 505, 970, 825, 409?
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, 970, 825, 409.
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}.