LCM of 304, 608, 816, 137, 139
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 608, 816, 137, 139 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 304, 608, 816, 137, 139. So, keep reading to learn more.
Given numbers are 304,608,816,137,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,608,816,137,139 is 590485344.
Find LCM of 304,608,816,137,139 with Prime Factorization
| 2 | 304, 608, 816, 137, 139 |
| 2 | 152, 304, 408, 137, 139 |
| 2 | 76, 152, 204, 137, 139 |
| 2 | 38, 76, 102, 137, 139 |
| 19 | 19, 38, 51, 137, 139 |
| 1, 2, 51, 137, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 1 x 2 x 51 x 137 x 139 = 590485344
Therefore, the lowest common multiple of 304,608,816,137,139 is 590485344.
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.
304 x 608 x 816 x 137 x 139 = 2872120713216
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
137 : 1, 137
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,608,816,137,139, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
608:2x 2x 2x 2x 2x 19
816:2x 2x 2x 2x 3x 17
137:137
139:139
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 2x 2x 2x 2x 19 = 4864
Therefore, the value for common factors is 4864.
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 = 2872120713216/(1x4864)
LCM = 2872120713216/4864
LCM = 590485344
Thus, we can understand that the LCM of 304,608,816,137,139 is 590485344.
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FAQs on LCM of 304, 608, 816, 137, 139
1. What is the LCM of 304, 608, 816, 137, 139?
Answer: LCM of 304, 608, 816, 137, 139 is 590485344.
2. How to calculate the LCM of 304, 608, 816, 137, 139?
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 304, 608, 816, 137, 139.
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}.