LCM of 991, 981, 924, 428, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 981, 924, 428, 314 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, 981, 924, 428, 314. So, keep reading to learn more.
Given numbers are 991,981,924,428,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,981,924,428,314 is 5030102193732.
Find LCM of 991,981,924,428,314 with Prime Factorization
| 2 | 991, 981, 924, 428, 314 |
| 2 | 991, 981, 462, 214, 157 |
| 3 | 991, 981, 231, 107, 157 |
| 991, 327, 77, 107, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 991 x 327 x 77 x 107 x 157 = 5030102193732
Therefore, the lowest common multiple of 991,981,924,428,314 is 5030102193732.
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 981 x 924 x 428 x 314 = 120722452649568
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
981 : 1, 3, 9, 109, 327, 981
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
428 : 1, 2, 4, 107, 214, 428
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,981,924,428,314, is 1.
Now, the common factors can be found like this.
991:991
981:3x 3x 109
924:2x 2x 3x 7x 11
428:2x 2x 107
314:2x 157
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 3 = 24
Therefore, the value for common factors is 24.
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 = 120722452649568/(1x24)
LCM = 120722452649568/24
LCM = 5030102193732
Thus, we can understand that the LCM of 991,981,924,428,314 is 5030102193732.
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FAQs on LCM of 991, 981, 924, 428, 314
1. What is the LCM of 991, 981, 924, 428, 314?
Answer: LCM of 991, 981, 924, 428, 314 is 5030102193732.
2. How to calculate the LCM of 991, 981, 924, 428, 314?
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, 981, 924, 428, 314.
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}.