LCM of 725, 872, 737, 400, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 872, 737, 400, 738 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, 872, 737, 400, 738. So, keep reading to learn more.
Given numbers are 725,872,737,400,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,872,737,400,738 is 343857373200.
Find LCM of 725,872,737,400,738 with Prime Factorization
| 2 | 725, 872, 737, 400, 738 |
| 2 | 725, 436, 737, 200, 369 |
| 2 | 725, 218, 737, 100, 369 |
| 5 | 725, 109, 737, 50, 369 |
| 5 | 145, 109, 737, 10, 369 |
| 29, 109, 737, 2, 369 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 29 x 109 x 737 x 2 x 369 = 343857373200
Therefore, the lowest common multiple of 725,872,737,400,738 is 343857373200.
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 872 x 737 x 400 x 738 = 137542949280000
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
872 : 1, 2, 4, 8, 109, 218, 436, 872
737 : 1, 11, 67, 737
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,872,737,400,738, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
872:2x 2x 2x 109
737:11x 67
400:2x 2x 2x 2x 5x 5
738:2x 3x 3x 41
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 2x 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 137542949280000/(1x400)
LCM = 137542949280000/400
LCM = 343857373200
Thus, we can understand that the LCM of 725,872,737,400,738 is 343857373200.
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FAQs on LCM of 725, 872, 737, 400, 738
1. What is the LCM of 725, 872, 737, 400, 738?
Answer: LCM of 725, 872, 737, 400, 738 is 343857373200.
2. How to calculate the LCM of 725, 872, 737, 400, 738?
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, 872, 737, 400, 738.
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}.