LCM of 725, 407, 960, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 407, 960, 352 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, 407, 960, 352. So, keep reading to learn more.
Given numbers are 725,407,960,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,407,960,352 is 56654400.
Find LCM of 725,407,960,352 with Prime Factorization
| 2 | 725, 407, 960, 352 |
| 2 | 725, 407, 480, 176 |
| 2 | 725, 407, 240, 88 |
| 2 | 725, 407, 120, 44 |
| 2 | 725, 407, 60, 22 |
| 5 | 725, 407, 30, 11 |
| 11 | 145, 407, 6, 11 |
| 145, 37, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 11 x 145 x 37 x 6 x 1 = 56654400
Therefore, the lowest common multiple of 725,407,960,352 is 56654400.
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 407 x 960 x 352 = 99711744000
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
407 : 1, 11, 37, 407
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,407,960,352, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
407:11x 37
960:2x 2x 2x 2x 2x 2x 3x 5
352:2x 2x 2x 2x 2x 11
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 2x 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 99711744000/(1x1760)
LCM = 99711744000/1760
LCM = 56654400
Thus, we can understand that the LCM of 725,407,960,352 is 56654400.
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FAQs on LCM of 725, 407, 960, 352
1. What is the LCM of 725, 407, 960, 352?
Answer: LCM of 725, 407, 960, 352 is 56654400.
2. How to calculate the LCM of 725, 407, 960, 352?
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, 407, 960, 352.
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}.