LCM of 991, 748, 316, 957, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 748, 316, 957, 816 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, 748, 316, 957, 816. So, keep reading to learn more.
Given numbers are 991,748,316,957,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,748,316,957,816 is 20378939856.
Find LCM of 991,748,316,957,816 with Prime Factorization
| 2 | 991, 748, 316, 957, 816 |
| 2 | 991, 374, 158, 957, 408 |
| 3 | 991, 187, 79, 957, 204 |
| 11 | 991, 187, 79, 319, 68 |
| 17 | 991, 17, 79, 29, 68 |
| 991, 1, 79, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 991 x 1 x 79 x 29 x 4 = 20378939856
Therefore, the lowest common multiple of 991,748,316,957,816 is 20378939856.
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 748 x 316 x 957 x 816 = 182921364147456
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
316 : 1, 2, 4, 79, 158, 316
957 : 1, 3, 11, 29, 33, 87, 319, 957
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,748,316,957,816, is 1.
Now, the common factors can be found like this.
991:991
748:2x 2x 11x 17
316:2x 2x 79
957:3x 11x 29
816:2x 2x 2x 2x 3x 17
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 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 182921364147456/(1x8976)
LCM = 182921364147456/8976
LCM = 20378939856
Thus, we can understand that the LCM of 991,748,316,957,816 is 20378939856.
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FAQs on LCM of 991, 748, 316, 957, 816
1. What is the LCM of 991, 748, 316, 957, 816?
Answer: LCM of 991, 748, 316, 957, 816 is 20378939856.
2. How to calculate the LCM of 991, 748, 316, 957, 816?
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, 748, 316, 957, 816.
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}.