LCM of 125, 389, 957, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 389, 957, 135 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 125, 389, 957, 135. So, keep reading to learn more.
Given numbers are 125,389,957,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,389,957,135 is 418807125.
Find LCM of 125,389,957,135 with Prime Factorization
| 3 | 125, 389, 957, 135 |
| 5 | 125, 389, 319, 45 |
| 25, 389, 319, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 25 x 389 x 319 x 9 = 418807125
Therefore, the lowest common multiple of 125,389,957,135 is 418807125.
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.
125 x 389 x 957 x 135 = 6282106875
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.
125 : 1, 5, 25, 125
389 : 1, 389
957 : 1, 3, 11, 29, 33, 87, 319, 957
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,389,957,135, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
389:389
957:3x 11x 29
135:3x 3x 3x 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 = 6282106875/(1x15)
LCM = 6282106875/15
LCM = 418807125
Thus, we can understand that the LCM of 125,389,957,135 is 418807125.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 125, 389, 957, 135
1. What is the LCM of 125, 389, 957, 135?
Answer: LCM of 125, 389, 957, 135 is 418807125.
2. How to calculate the LCM of 125, 389, 957, 135?
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 125, 389, 957, 135.
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}.