LCM of 991, 164, 871, 984, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 164, 871, 984, 438 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 991, 164, 871, 984, 438. So, keep reading to learn more.
Given numbers are 991,164,871,984,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,164,871,984,438 is 62002580952.
Find LCM of 991,164,871,984,438 with Prime Factorization
| 2 | 991, 164, 871, 984, 438 |
| 2 | 991, 82, 871, 492, 219 |
| 3 | 991, 41, 871, 246, 219 |
| 41 | 991, 41, 871, 82, 73 |
| 991, 1, 871, 2, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 991 x 1 x 871 x 2 x 73 = 62002580952
Therefore, the lowest common multiple of 991,164,871,984,438 is 62002580952.
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.
991 x 164 x 871 x 984 x 438 = 61010539656768
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.
991 : 1, 991
164 : 1, 2, 4, 41, 82, 164
871 : 1, 13, 67, 871
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,164,871,984,438, is 1.
Now, the common factors can be found like this.
991:991
164:2x 2x 41
871:13x 67
984:2x 2x 2x 3x 41
438:2x 3x 73
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 3x 41 = 984
Therefore, the value for common factors is 984.
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 = 61010539656768/(1x984)
LCM = 61010539656768/984
LCM = 62002580952
Thus, we can understand that the LCM of 991,164,871,984,438 is 62002580952.
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FAQs on LCM of 991, 164, 871, 984, 438
1. What is the LCM of 991, 164, 871, 984, 438?
Answer: LCM of 991, 164, 871, 984, 438 is 62002580952.
2. How to calculate the LCM of 991, 164, 871, 984, 438?
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 991, 164, 871, 984, 438.
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}.