LCM of 478, 927, 667, 910, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 927, 667, 910, 966 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 478, 927, 667, 910, 966. So, keep reading to learn more.
Given numbers are 478,927,667,910,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,927,667,910,966 is 134476024410.
Find LCM of 478,927,667,910,966 with Prime Factorization
| 2 | 478, 927, 667, 910, 966 |
| 3 | 239, 927, 667, 455, 483 |
| 7 | 239, 309, 667, 455, 161 |
| 23 | 239, 309, 667, 65, 23 |
| 239, 309, 29, 65, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 239 x 309 x 29 x 65 x 1 = 134476024410
Therefore, the lowest common multiple of 478,927,667,910,966 is 134476024410.
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.
478 x 927 x 667 x 910 x 966 = 259807679160120
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.
478 : 1, 2, 239, 478
927 : 1, 3, 9, 103, 309, 927
667 : 1, 23, 29, 667
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,927,667,910,966, is 1.
Now, the common factors can be found like this.
478:2x 239
927:3x 3x 103
667:23x 29
910:2x 5x 7x 13
966:2x 3x 7x 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 3x 7x 23 = 1932
Therefore, the value for common factors is 1932.
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 = 259807679160120/(1x1932)
LCM = 259807679160120/1932
LCM = 134476024410
Thus, we can understand that the LCM of 478,927,667,910,966 is 134476024410.
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FAQs on LCM of 478, 927, 667, 910, 966
1. What is the LCM of 478, 927, 667, 910, 966?
Answer: LCM of 478, 927, 667, 910, 966 is 134476024410.
2. How to calculate the LCM of 478, 927, 667, 910, 966?
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 478, 927, 667, 910, 966.
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}.