Find the LCM of 125, 409, 409, 811, 609 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, 409, 409, 811, 609. So, keep reading to learn more.
Given numbers are 125,409,409,811,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,409,409,811,609 is 25250586375.
Find LCM of 125,409,409,811,609 with Prime Factorization
409 | 125, 409, 409, 811, 609 |
125, 1, 1, 811, 609 |
Multiply the prime numbers at the bottom and the left side.
409 x 125 x 1 x 1 x 811 x 609 = 25250586375
Therefore, the lowest common multiple of 125,409,409,811,609 is 25250586375.
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 409 x 409 x 811 x 609 = 10327489827375
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
409 : 1, 409
409 : 1, 409
811 : 1, 811
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,409,409,811,609, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
409:409
409:409
811:811
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
409 = 409
Therefore, the value for common factors is 409.
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 = 10327489827375/(1x409)
LCM = 10327489827375/409
LCM = 25250586375
Thus, we can understand that the LCM of 125,409,409,811,609 is 25250586375.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 409, 409, 811, 609?
Answer: LCM of 125, 409, 409, 811, 609 is 25250586375.
2. How to calculate the LCM of 125, 409, 409, 811, 609?
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, 409, 409, 811, 609.
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}.