LCM of 433, 961, 992, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 961, 992, 961 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 433, 961, 992, 961. So, keep reading to learn more.
Given numbers are 433,961,992,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,961,992,961 is 13315616.
Find LCM of 433,961,992,961 with Prime Factorization
| 31 | 433, 961, 992, 961 |
| 31 | 433, 31, 32, 31 |
| 433, 1, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
31 x 31 x 433 x 1 x 32 x 1 = 13315616
Therefore, the lowest common multiple of 433,961,992,961 is 13315616.
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.
433 x 961 x 992 x 961 = 396685516256
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.
433 : 1, 433
961 : 1, 31, 961
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,961,992,961, is 1.
Now, the common factors can be found like this.
433:433
961:31x 31
992:2x 2x 2x 2x 2x 31
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31x 31x 31 = 29791
Therefore, the value for common factors is 29791.
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 = 396685516256/(1x29791)
LCM = 396685516256/29791
LCM = 13315616
Thus, we can understand that the LCM of 433,961,992,961 is 13315616.
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FAQs on LCM of 433, 961, 992, 961
1. What is the LCM of 433, 961, 992, 961?
Answer: LCM of 433, 961, 992, 961 is 13315616.
2. How to calculate the LCM of 433, 961, 992, 961?
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 433, 961, 992, 961.
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}.