Find the LCM of 925, 748, 622, 869, 175 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 925, 748, 622, 869, 175. So, keep reading to learn more.
Given numbers are 925,748,622,869,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,748,622,869,175 is 118995037700.
Find LCM of 925,748,622,869,175 with Prime Factorization
2 | 925, 748, 622, 869, 175 |
5 | 925, 374, 311, 869, 175 |
5 | 185, 374, 311, 869, 35 |
11 | 37, 374, 311, 869, 7 |
37, 34, 311, 79, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 37 x 34 x 311 x 79 x 7 = 118995037700
Therefore, the lowest common multiple of 925,748,622,869,175 is 118995037700.
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.
925 x 748 x 622 x 869 x 175 = 65447270735000
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.
925 : 1, 5, 25, 37, 185, 925
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
622 : 1, 2, 311, 622
869 : 1, 11, 79, 869
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,748,622,869,175, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
748:2x 2x 11x 17
622:2x 311
869:11x 79
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11 = 550
Therefore, the value for common factors is 550.
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 = 65447270735000/(1x550)
LCM = 65447270735000/550
LCM = 118995037700
Thus, we can understand that the LCM of 925,748,622,869,175 is 118995037700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 925, 748, 622, 869, 175?
Answer: LCM of 925, 748, 622, 869, 175 is 118995037700.
2. How to calculate the LCM of 925, 748, 622, 869, 175?
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 925, 748, 622, 869, 175.
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}.