LCM of 725, 810, 675, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 810, 675, 681 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 725, 810, 675, 681. So, keep reading to learn more.
Given numbers are 725,810,675,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,810,675,681 is 26661150.
Find LCM of 725,810,675,681 with Prime Factorization
| 3 | 725, 810, 675, 681 |
| 3 | 725, 270, 225, 227 |
| 3 | 725, 90, 75, 227 |
| 5 | 725, 30, 25, 227 |
| 5 | 145, 6, 5, 227 |
| 29, 6, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 5 x 29 x 6 x 1 x 227 = 26661150
Therefore, the lowest common multiple of 725,810,675,681 is 26661150.
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.
725 x 810 x 675 x 681 = 269944143750
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.
725 : 1, 5, 25, 29, 145, 725
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,810,675,681, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
810:2x 3x 3x 3x 3x 5
675:3x 3x 3x 5x 5
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5x 5 = 10125
Therefore, the value for common factors is 10125.
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 = 269944143750/(1x10125)
LCM = 269944143750/10125
LCM = 26661150
Thus, we can understand that the LCM of 725,810,675,681 is 26661150.
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FAQs on LCM of 725, 810, 675, 681
1. What is the LCM of 725, 810, 675, 681?
Answer: LCM of 725, 810, 675, 681 is 26661150.
2. How to calculate the LCM of 725, 810, 675, 681?
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 725, 810, 675, 681.
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}.