LCM of 725, 517, 198, 665, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 517, 198, 665, 751 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, 517, 198, 665, 751. So, keep reading to learn more.
Given numbers are 725,517,198,665,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,517,198,665,751 is 673895618550.
Find LCM of 725,517,198,665,751 with Prime Factorization
| 5 | 725, 517, 198, 665, 751 |
| 11 | 145, 517, 198, 133, 751 |
| 145, 47, 18, 133, 751 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 145 x 47 x 18 x 133 x 751 = 673895618550
Therefore, the lowest common multiple of 725,517,198,665,751 is 673895618550.
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 517 x 198 x 665 x 751 = 37064259020250
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
517 : 1, 11, 47, 517
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
665 : 1, 5, 7, 19, 35, 95, 133, 665
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,517,198,665,751, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
517:11x 47
198:2x 3x 3x 11
665:5x 7x 19
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 37064259020250/(1x55)
LCM = 37064259020250/55
LCM = 673895618550
Thus, we can understand that the LCM of 725,517,198,665,751 is 673895618550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 725, 517, 198, 665, 751
1. What is the LCM of 725, 517, 198, 665, 751?
Answer: LCM of 725, 517, 198, 665, 751 is 673895618550.
2. How to calculate the LCM of 725, 517, 198, 665, 751?
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, 517, 198, 665, 751.
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}.