LCM of 825, 250, 398, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 250, 398, 810 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 825, 250, 398, 810. So, keep reading to learn more.
Given numbers are 825,250,398,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,250,398,810 is 44327250.
Find LCM of 825,250,398,810 with Prime Factorization
| 2 | 825, 250, 398, 810 |
| 3 | 825, 125, 199, 405 |
| 5 | 275, 125, 199, 135 |
| 5 | 55, 25, 199, 27 |
| 11, 5, 199, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 5 x 199 x 27 = 44327250
Therefore, the lowest common multiple of 825,250,398,810 is 44327250.
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.
825 x 250 x 398 x 810 = 66490875000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
250 : 1, 2, 5, 10, 25, 50, 125, 250
398 : 1, 2, 199, 398
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,250,398,810, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
250:2x 5x 5x 5
398:2x 199
810:2x 3x 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.
2x 2x 3x 5x 5x 5 = 1500
Therefore, the value for common factors is 1500.
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 = 66490875000/(1x1500)
LCM = 66490875000/1500
LCM = 44327250
Thus, we can understand that the LCM of 825,250,398,810 is 44327250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 250, 398, 810
1. What is the LCM of 825, 250, 398, 810?
Answer: LCM of 825, 250, 398, 810 is 44327250.
2. How to calculate the LCM of 825, 250, 398, 810?
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 825, 250, 398, 810.
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}.