LCM of 725, 545, 960, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 545, 960, 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, 545, 960, 700. So, keep reading to learn more.
Given numbers are 725,545,960,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,545,960,700 is 106209600.
Find LCM of 725,545,960,700 with Prime Factorization
| 2 | 725, 545, 960, 700 |
| 2 | 725, 545, 480, 350 |
| 5 | 725, 545, 240, 175 |
| 5 | 145, 109, 48, 35 |
| 29, 109, 48, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 29 x 109 x 48 x 7 = 106209600
Therefore, the lowest common multiple of 725,545,960,700 is 106209600.
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 545 x 960 x 700 = 265524000000
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
545 : 1, 5, 109, 545
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,545,960,700, is 5.
Now, the common factors can be found like this.
725:5x 5x 29
545:5x 109
960:2x 2x 2x 2x 2x 2x 3x 5
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 265524000000/(5x500)
LCM = 265524000000/2500
LCM = 106209600
Thus, we can understand that the LCM of 725,545,960,700 is 106209600.
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FAQs on LCM of 725, 545, 960, 700
1. What is the LCM of 725, 545, 960, 700?
Answer: LCM of 725, 545, 960, 700 is 106209600.
2. How to calculate the LCM of 725, 545, 960, 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, 545, 960, 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}.