LCM of 816, 478, 404, 247, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 478, 404, 247, 927 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 816, 478, 404, 247, 927. So, keep reading to learn more.
Given numbers are 816,478,404,247,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,478,404,247,927 is 1503366491952.
Find LCM of 816,478,404,247,927 with Prime Factorization
| 2 | 816, 478, 404, 247, 927 |
| 2 | 408, 239, 202, 247, 927 |
| 3 | 204, 239, 101, 247, 927 |
| 68, 239, 101, 247, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 68 x 239 x 101 x 247 x 309 = 1503366491952
Therefore, the lowest common multiple of 816,478,404,247,927 is 1503366491952.
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.
816 x 478 x 404 x 247 x 927 = 36080795806848
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
478 : 1, 2, 239, 478
404 : 1, 2, 4, 101, 202, 404
247 : 1, 13, 19, 247
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,478,404,247,927, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
478:2x 239
404:2x 2x 101
247:13x 19
927:3x 3x 103
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 3 = 24
Therefore, the value for common factors is 24.
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 = 36080795806848/(1x24)
LCM = 36080795806848/24
LCM = 1503366491952
Thus, we can understand that the LCM of 816,478,404,247,927 is 1503366491952.
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FAQs on LCM of 816, 478, 404, 247, 927
1. What is the LCM of 816, 478, 404, 247, 927?
Answer: LCM of 816, 478, 404, 247, 927 is 1503366491952.
2. How to calculate the LCM of 816, 478, 404, 247, 927?
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 816, 478, 404, 247, 927.
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}.