LCM of 960, 982, 445, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 982, 445, 288 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, 982, 445, 288. So, keep reading to learn more.
Given numbers are 960,982,445,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,982,445,288 is 125853120.
Find LCM of 960,982,445,288 with Prime Factorization
| 2 | 960, 982, 445, 288 |
| 2 | 480, 491, 445, 144 |
| 2 | 240, 491, 445, 72 |
| 2 | 120, 491, 445, 36 |
| 2 | 60, 491, 445, 18 |
| 3 | 30, 491, 445, 9 |
| 5 | 10, 491, 445, 3 |
| 2, 491, 89, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 491 x 89 x 3 = 125853120
Therefore, the lowest common multiple of 960,982,445,288 is 125853120.
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 982 x 445 x 288 = 120818995200
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
982 : 1, 2, 491, 982
445 : 1, 5, 89, 445
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,982,445,288, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
982:2x 491
445:5x 89
288:2x 2x 2x 2x 2x 3x 3
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 = 120818995200/(1x960)
LCM = 120818995200/960
LCM = 125853120
Thus, we can understand that the LCM of 960,982,445,288 is 125853120.
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FAQs on LCM of 960, 982, 445, 288
1. What is the LCM of 960, 982, 445, 288?
Answer: LCM of 960, 982, 445, 288 is 125853120.
2. How to calculate the LCM of 960, 982, 445, 288?
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, 982, 445, 288.
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}.