LCM of 991, 418, 979, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 418, 979, 201 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, 418, 979, 201. So, keep reading to learn more.
Given numbers are 991,418,979,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,418,979,201 is 7410303582.
Find LCM of 991,418,979,201 with Prime Factorization
| 11 | 991, 418, 979, 201 |
| 991, 38, 89, 201 |
Multiply the prime numbers at the bottom and the left side.
11 x 991 x 38 x 89 x 201 = 7410303582
Therefore, the lowest common multiple of 991,418,979,201 is 7410303582.
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 418 x 979 x 201 = 81513339402
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
979 : 1, 11, 89, 979
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,418,979,201, is 1.
Now, the common factors can be found like this.
991:991
418:2x 11x 19
979:11x 89
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 81513339402/(1x11)
LCM = 81513339402/11
LCM = 7410303582
Thus, we can understand that the LCM of 991,418,979,201 is 7410303582.
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FAQs on LCM of 991, 418, 979, 201
1. What is the LCM of 991, 418, 979, 201?
Answer: LCM of 991, 418, 979, 201 is 7410303582.
2. How to calculate the LCM of 991, 418, 979, 201?
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, 418, 979, 201.
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}.