LCM of 961, 960, 718, 812, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 960, 718, 812, 360 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 961, 960, 718, 812, 360. So, keep reading to learn more.
Given numbers are 961,960,718,812,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,960,718,812,360 is 201700215360.
Find LCM of 961,960,718,812,360 with Prime Factorization
| 2 | 961, 960, 718, 812, 360 |
| 2 | 961, 480, 359, 406, 180 |
| 2 | 961, 240, 359, 203, 90 |
| 3 | 961, 120, 359, 203, 45 |
| 5 | 961, 40, 359, 203, 15 |
| 961, 8, 359, 203, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 961 x 8 x 359 x 203 x 3 = 201700215360
Therefore, the lowest common multiple of 961,960,718,812,360 is 201700215360.
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.
961 x 960 x 718 x 812 x 360 = 193632206745600
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.
961 : 1, 31, 961
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
718 : 1, 2, 359, 718
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,960,718,812,360, is 1.
Now, the common factors can be found like this.
961:31x 31
960:2x 2x 2x 2x 2x 2x 3x 5
718:2x 359
812:2x 2x 7x 29
360:2x 2x 2x 3x 3x 5
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 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 193632206745600/(1x960)
LCM = 193632206745600/960
LCM = 201700215360
Thus, we can understand that the LCM of 961,960,718,812,360 is 201700215360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 961, 960, 718, 812, 360
1. What is the LCM of 961, 960, 718, 812, 360?
Answer: LCM of 961, 960, 718, 812, 360 is 201700215360.
2. How to calculate the LCM of 961, 960, 718, 812, 360?
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 961, 960, 718, 812, 360.
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}.