LCM of 184, 388, 841, 952, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 388, 841, 952, 686 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, 388, 841, 952, 686. So, keep reading to learn more.
Given numbers are 184,388,841,952,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,388,841,952,686 is 87524289608.
Find LCM of 184,388,841,952,686 with Prime Factorization
| 2 | 184, 388, 841, 952, 686 |
| 2 | 92, 194, 841, 476, 343 |
| 2 | 46, 97, 841, 238, 343 |
| 7 | 23, 97, 841, 119, 343 |
| 23, 97, 841, 17, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 23 x 97 x 841 x 17 x 49 = 87524289608
Therefore, the lowest common multiple of 184,388,841,952,686 is 87524289608.
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 388 x 841 x 952 x 686 = 39210881744384
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
388 : 1, 2, 4, 97, 194, 388
841 : 1, 29, 841
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,388,841,952,686, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
388:2x 2x 97
841:29x 29
952:2x 2x 2x 7x 17
686:2x 7x 7x 7
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 7 = 448
Therefore, the value for common factors is 448.
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 = 39210881744384/(1x448)
LCM = 39210881744384/448
LCM = 87524289608
Thus, we can understand that the LCM of 184,388,841,952,686 is 87524289608.
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FAQs on LCM of 184, 388, 841, 952, 686
1. What is the LCM of 184, 388, 841, 952, 686?
Answer: LCM of 184, 388, 841, 952, 686 is 87524289608.
2. How to calculate the LCM of 184, 388, 841, 952, 686?
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, 388, 841, 952, 686.
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}.