LCM of 960, 745, 810, 957, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 745, 810, 957, 709 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, 745, 810, 957, 709. So, keep reading to learn more.
Given numbers are 960,745,810,957,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,745,810,957,709 is 873490495680.
Find LCM of 960,745,810,957,709 with Prime Factorization
| 2 | 960, 745, 810, 957, 709 |
| 3 | 480, 745, 405, 957, 709 |
| 5 | 160, 745, 135, 319, 709 |
| 32, 149, 27, 319, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 32 x 149 x 27 x 319 x 709 = 873490495680
Therefore, the lowest common multiple of 960,745,810,957,709 is 873490495680.
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 745 x 810 x 957 x 709 = 393070723056000
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
745 : 1, 5, 149, 745
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
957 : 1, 3, 11, 29, 33, 87, 319, 957
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,745,810,957,709, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
745:5x 149
810:2x 3x 3x 3x 3x 5
957:3x 11x 29
709:709
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 393070723056000/(1x450)
LCM = 393070723056000/450
LCM = 873490495680
Thus, we can understand that the LCM of 960,745,810,957,709 is 873490495680.
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FAQs on LCM of 960, 745, 810, 957, 709
1. What is the LCM of 960, 745, 810, 957, 709?
Answer: LCM of 960, 745, 810, 957, 709 is 873490495680.
2. How to calculate the LCM of 960, 745, 810, 957, 709?
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, 745, 810, 957, 709.
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}.