LCM of 488, 138, 816, 867, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 488, 138, 816, 867, 939 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 488, 138, 816, 867, 939. So, keep reading to learn more.
Given numbers are 488,138,816,867,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 488,138,816,867,939 is 6091736208.
Find LCM of 488,138,816,867,939 with Prime Factorization
| 2 | 488, 138, 816, 867, 939 |
| 2 | 244, 69, 408, 867, 939 |
| 2 | 122, 69, 204, 867, 939 |
| 3 | 61, 69, 102, 867, 939 |
| 17 | 61, 23, 34, 289, 313 |
| 61, 23, 2, 17, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 61 x 23 x 2 x 17 x 313 = 6091736208
Therefore, the lowest common multiple of 488,138,816,867,939 is 6091736208.
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.
488 x 138 x 816 x 867 x 939 = 44737710711552
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.
488 : 1, 2, 4, 8, 61, 122, 244, 488
138 : 1, 2, 3, 6, 23, 46, 69, 138
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
867 : 1, 3, 17, 51, 289, 867
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,138,816,867,939, is 1.
Now, the common factors can be found like this.
488:2x 2x 2x 61
138:2x 3x 23
816:2x 2x 2x 2x 3x 17
867:3x 17x 17
939:3x 313
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 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 44737710711552/(1x7344)
LCM = 44737710711552/7344
LCM = 6091736208
Thus, we can understand that the LCM of 488,138,816,867,939 is 6091736208.
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FAQs on LCM of 488, 138, 816, 867, 939
1. What is the LCM of 488, 138, 816, 867, 939?
Answer: LCM of 488, 138, 816, 867, 939 is 6091736208.
2. How to calculate the LCM of 488, 138, 816, 867, 939?
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 488, 138, 816, 867, 939.
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}.