LCM of 961, 120, 363, 284, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 120, 363, 284, 992 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, 120, 363, 284, 992. So, keep reading to learn more.
Given numbers are 961,120,363,284,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,120,363,284,992 is 3962856480.
Find LCM of 961,120,363,284,992 with Prime Factorization
| 2 | 961, 120, 363, 284, 992 |
| 2 | 961, 60, 363, 142, 496 |
| 2 | 961, 30, 363, 71, 248 |
| 3 | 961, 15, 363, 71, 124 |
| 31 | 961, 5, 121, 71, 124 |
| 31, 5, 121, 71, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 31 x 5 x 121 x 71 x 4 = 3962856480
Therefore, the lowest common multiple of 961,120,363,284,992 is 3962856480.
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 120 x 363 x 284 x 992 = 11793460884480
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
363 : 1, 3, 11, 33, 121, 363
284 : 1, 2, 4, 71, 142, 284
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,120,363,284,992, is 1.
Now, the common factors can be found like this.
961:31x 31
120:2x 2x 2x 3x 5
363:3x 11x 11
284:2x 2x 71
992:2x 2x 2x 2x 2x 31
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 3x 31 = 2976
Therefore, the value for common factors is 2976.
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 = 11793460884480/(1x2976)
LCM = 11793460884480/2976
LCM = 3962856480
Thus, we can understand that the LCM of 961,120,363,284,992 is 3962856480.
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FAQs on LCM of 961, 120, 363, 284, 992
1. What is the LCM of 961, 120, 363, 284, 992?
Answer: LCM of 961, 120, 363, 284, 992 is 3962856480.
2. How to calculate the LCM of 961, 120, 363, 284, 992?
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, 120, 363, 284, 992.
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}.