LCM of 309, 121, 484, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 121, 484, 991 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 309, 121, 484, 991. So, keep reading to learn more.
Given numbers are 309,121,484,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,121,484,991 is 148209996.
Find LCM of 309,121,484,991 with Prime Factorization
| 11 | 309, 121, 484, 991 |
| 11 | 309, 11, 44, 991 |
| 309, 1, 4, 991 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 309 x 1 x 4 x 991 = 148209996
Therefore, the lowest common multiple of 309,121,484,991 is 148209996.
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.
309 x 121 x 484 x 991 = 17933409516
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.
309 : 1, 3, 103, 309
121 : 1, 11, 121
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,121,484,991, is 1.
Now, the common factors can be found like this.
309:3x 103
121:11x 11
484:2x 2x 11x 11
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 17933409516/(1x121)
LCM = 17933409516/121
LCM = 148209996
Thus, we can understand that the LCM of 309,121,484,991 is 148209996.
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FAQs on LCM of 309, 121, 484, 991
1. What is the LCM of 309, 121, 484, 991?
Answer: LCM of 309, 121, 484, 991 is 148209996.
2. How to calculate the LCM of 309, 121, 484, 991?
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 309, 121, 484, 991.
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}.