LCM of 914, 122, 103, 981, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 122, 103, 981, 841 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 914, 122, 103, 981, 841. So, keep reading to learn more.
Given numbers are 914,122,103,981,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,122,103,981,841 is 4737816745902.
Find LCM of 914,122,103,981,841 with Prime Factorization
| 2 | 914, 122, 103, 981, 841 |
| 457, 61, 103, 981, 841 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 61 x 103 x 981 x 841 = 4737816745902
Therefore, the lowest common multiple of 914,122,103,981,841 is 4737816745902.
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.
914 x 122 x 103 x 981 x 841 = 9475633491804
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.
914 : 1, 2, 457, 914
122 : 1, 2, 61, 122
103 : 1, 103
981 : 1, 3, 9, 109, 327, 981
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,122,103,981,841, is 1.
Now, the common factors can be found like this.
914:2x 457
122:2x 61
103:103
981:3x 3x 109
841:29x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 9475633491804/(1x2)
LCM = 9475633491804/2
LCM = 4737816745902
Thus, we can understand that the LCM of 914,122,103,981,841 is 4737816745902.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 122, 103, 981, 841
1. What is the LCM of 914, 122, 103, 981, 841?
Answer: LCM of 914, 122, 103, 981, 841 is 4737816745902.
2. How to calculate the LCM of 914, 122, 103, 981, 841?
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 914, 122, 103, 981, 841.
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}.