Find the LCM of 997, 400, 875, 613, 227 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 997, 400, 875, 613, 227. So, keep reading to learn more.
Given numbers are 997,400,875,613,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,400,875,613,227 is 1942269658000.
Find LCM of 997,400,875,613,227 with Prime Factorization
5 | 997, 400, 875, 613, 227 |
5 | 997, 80, 175, 613, 227 |
997, 16, 35, 613, 227 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 997 x 16 x 35 x 613 x 227 = 1942269658000
Therefore, the lowest common multiple of 997,400,875,613,227 is 1942269658000.
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.
997 x 400 x 875 x 613 x 227 = 48556741450000
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.
997 : 1, 997
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
875 : 1, 5, 7, 25, 35, 125, 175, 875
613 : 1, 613
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,400,875,613,227, is 1.
Now, the common factors can be found like this.
997:997
400:2x 2x 2x 2x 5x 5
875:5x 5x 5x 7
613:613
227:227
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 = 48556741450000/(1x25)
LCM = 48556741450000/25
LCM = 1942269658000
Thus, we can understand that the LCM of 997,400,875,613,227 is 1942269658000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 997, 400, 875, 613, 227?
Answer: LCM of 997, 400, 875, 613, 227 is 1942269658000.
2. How to calculate the LCM of 997, 400, 875, 613, 227?
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 997, 400, 875, 613, 227.
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}.