LCM of 725, 678, 904, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 678, 904, 700 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, 678, 904, 700. So, keep reading to learn more.
Given numbers are 725,678,904,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,678,904,700 is 13763400.
Find LCM of 725,678,904,700 with Prime Factorization
| 2 | 725, 678, 904, 700 |
| 2 | 725, 339, 452, 350 |
| 5 | 725, 339, 226, 175 |
| 5 | 145, 339, 226, 35 |
| 113 | 29, 339, 226, 7 |
| 29, 3, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 113 x 29 x 3 x 2 x 7 = 13763400
Therefore, the lowest common multiple of 725,678,904,700 is 13763400.
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 678 x 904 x 700 = 311052840000
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
904 : 1, 2, 4, 8, 113, 226, 452, 904
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,678,904,700, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
678:2x 3x 113
904:2x 2x 2x 113
700:2x 2x 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.
2x 2x 2x 5x 5x 113 = 22600
Therefore, the value for common factors is 22600.
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 = 311052840000/(1x22600)
LCM = 311052840000/22600
LCM = 13763400
Thus, we can understand that the LCM of 725,678,904,700 is 13763400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 725, 678, 904, 700
1. What is the LCM of 725, 678, 904, 700?
Answer: LCM of 725, 678, 904, 700 is 13763400.
2. How to calculate the LCM of 725, 678, 904, 700?
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, 678, 904, 700.
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}.