LCM of 960, 723, 225, 413, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 723, 225, 413, 536 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 960, 723, 225, 413, 536. So, keep reading to learn more.
Given numbers are 960,723,225,413,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,723,225,413,536 is 96029438400.
Find LCM of 960,723,225,413,536 with Prime Factorization
| 2 | 960, 723, 225, 413, 536 |
| 2 | 480, 723, 225, 413, 268 |
| 2 | 240, 723, 225, 413, 134 |
| 3 | 120, 723, 225, 413, 67 |
| 5 | 40, 241, 75, 413, 67 |
| 8, 241, 15, 413, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 8 x 241 x 15 x 413 x 67 = 96029438400
Therefore, the lowest common multiple of 960,723,225,413,536 is 96029438400.
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.
960 x 723 x 225 x 413 x 536 = 34570597824000
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.
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
723 : 1, 3, 241, 723
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
413 : 1, 7, 59, 413
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,723,225,413,536, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
723:3x 241
225:3x 3x 5x 5
413:7x 59
536:2x 2x 2x 67
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 34570597824000/(1x360)
LCM = 34570597824000/360
LCM = 96029438400
Thus, we can understand that the LCM of 960,723,225,413,536 is 96029438400.
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FAQs on LCM of 960, 723, 225, 413, 536
1. What is the LCM of 960, 723, 225, 413, 536?
Answer: LCM of 960, 723, 225, 413, 536 is 96029438400.
2. How to calculate the LCM of 960, 723, 225, 413, 536?
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 960, 723, 225, 413, 536.
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}.