LCM of 718, 400, 960, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 400, 960, 415 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 718, 400, 960, 415. So, keep reading to learn more.
Given numbers are 718,400,960,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,400,960,415 is 143025600.
Find LCM of 718,400,960,415 with Prime Factorization
| 2 | 718, 400, 960, 415 |
| 2 | 359, 200, 480, 415 |
| 2 | 359, 100, 240, 415 |
| 2 | 359, 50, 120, 415 |
| 5 | 359, 25, 60, 415 |
| 359, 5, 12, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 359 x 5 x 12 x 83 = 143025600
Therefore, the lowest common multiple of 718,400,960,415 is 143025600.
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.
718 x 400 x 960 x 415 = 114420480000
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.
718 : 1, 2, 359, 718
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,400,960,415, is 1.
Now, the common factors can be found like this.
718:2x 359
400:2x 2x 2x 2x 5x 5
960:2x 2x 2x 2x 2x 2x 3x 5
415:5x 83
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 5 = 800
Therefore, the value for common factors is 800.
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 = 114420480000/(1x800)
LCM = 114420480000/800
LCM = 143025600
Thus, we can understand that the LCM of 718,400,960,415 is 143025600.
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FAQs on LCM of 718, 400, 960, 415
1. What is the LCM of 718, 400, 960, 415?
Answer: LCM of 718, 400, 960, 415 is 143025600.
2. How to calculate the LCM of 718, 400, 960, 415?
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 718, 400, 960, 415.
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}.