LCM of 725, 667, 783, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 667, 783, 875 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, 667, 783, 875. So, keep reading to learn more.
Given numbers are 725,667,783,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,667,783,875 is 15757875.
Find LCM of 725,667,783,875 with Prime Factorization
| 5 | 725, 667, 783, 875 |
| 5 | 145, 667, 783, 175 |
| 29 | 29, 667, 783, 35 |
| 1, 23, 27, 35 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 29 x 1 x 23 x 27 x 35 = 15757875
Therefore, the lowest common multiple of 725,667,783,875 is 15757875.
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 667 x 783 x 875 = 331309321875
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
667 : 1, 23, 29, 667
783 : 1, 3, 9, 27, 29, 87, 261, 783
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,667,783,875, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
667:23x 29
783:3x 3x 3x 29
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 29x 29 = 21025
Therefore, the value for common factors is 21025.
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 = 331309321875/(1x21025)
LCM = 331309321875/21025
LCM = 15757875
Thus, we can understand that the LCM of 725,667,783,875 is 15757875.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 725, 667, 783, 875
1. What is the LCM of 725, 667, 783, 875?
Answer: LCM of 725, 667, 783, 875 is 15757875.
2. How to calculate the LCM of 725, 667, 783, 875?
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, 667, 783, 875.
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}.