LCM of 876, 824, 339, 696, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 824, 339, 696, 184 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 876, 824, 339, 696, 184. So, keep reading to learn more.
Given numbers are 876,824,339,696,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,824,339,696,184 is 13601149176.
Find LCM of 876,824,339,696,184 with Prime Factorization
| 2 | 876, 824, 339, 696, 184 |
| 2 | 438, 412, 339, 348, 92 |
| 2 | 219, 206, 339, 174, 46 |
| 3 | 219, 103, 339, 87, 23 |
| 73, 103, 113, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 73 x 103 x 113 x 29 x 23 = 13601149176
Therefore, the lowest common multiple of 876,824,339,696,184 is 13601149176.
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.
876 x 824 x 339 x 696 x 184 = 31337047701504
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
824 : 1, 2, 4, 8, 103, 206, 412, 824
339 : 1, 3, 113, 339
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,824,339,696,184, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
824:2x 2x 2x 103
339:3x 113
696:2x 2x 2x 3x 29
184:2x 2x 2x 23
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 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 31337047701504/(1x2304)
LCM = 31337047701504/2304
LCM = 13601149176
Thus, we can understand that the LCM of 876,824,339,696,184 is 13601149176.
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FAQs on LCM of 876, 824, 339, 696, 184
1. What is the LCM of 876, 824, 339, 696, 184?
Answer: LCM of 876, 824, 339, 696, 184 is 13601149176.
2. How to calculate the LCM of 876, 824, 339, 696, 184?
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 876, 824, 339, 696, 184.
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}.