LCM of 184, 308, 686, 713, 881
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 308, 686, 713, 881 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 184, 308, 686, 713, 881. So, keep reading to learn more.
Given numbers are 184,308,686,713,881
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,308,686,713,881 is 18960170152.
Find LCM of 184,308,686,713,881 with Prime Factorization
| 2 | 184, 308, 686, 713, 881 |
| 2 | 92, 154, 343, 713, 881 |
| 7 | 46, 77, 343, 713, 881 |
| 23 | 46, 11, 49, 713, 881 |
| 2, 11, 49, 31, 881 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 2 x 11 x 49 x 31 x 881 = 18960170152
Therefore, the lowest common multiple of 184,308,686,713,881 is 18960170152.
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.
184 x 308 x 686 x 713 x 881 = 24420699155776
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
686 : 1, 2, 7, 14, 49, 98, 343, 686
713 : 1, 23, 31, 713
881 : 1, 881
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,308,686,713,881, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
308:2x 2x 7x 11
686:2x 7x 7x 7
713:23x 31
881:881
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 7x 23 = 1288
Therefore, the value for common factors is 1288.
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 = 24420699155776/(1x1288)
LCM = 24420699155776/1288
LCM = 18960170152
Thus, we can understand that the LCM of 184,308,686,713,881 is 18960170152.
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FAQs on LCM of 184, 308, 686, 713, 881
1. What is the LCM of 184, 308, 686, 713, 881?
Answer: LCM of 184, 308, 686, 713, 881 is 18960170152.
2. How to calculate the LCM of 184, 308, 686, 713, 881?
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 184, 308, 686, 713, 881.
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}.