LCM of 605, 891, 667, 844, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 891, 667, 844, 968 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 605, 891, 667, 844, 968. So, keep reading to learn more.
Given numbers are 605,891,667,844,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,891,667,844,968 is 55174533480.
Find LCM of 605,891,667,844,968 with Prime Factorization
| 2 | 605, 891, 667, 844, 968 |
| 2 | 605, 891, 667, 422, 484 |
| 11 | 605, 891, 667, 211, 242 |
| 11 | 55, 81, 667, 211, 22 |
| 5, 81, 667, 211, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 5 x 81 x 667 x 211 x 2 = 55174533480
Therefore, the lowest common multiple of 605,891,667,844,968 is 55174533480.
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.
605 x 891 x 667 x 844 x 968 = 293749216247520
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.
605 : 1, 5, 11, 55, 121, 605
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
667 : 1, 23, 29, 667
844 : 1, 2, 4, 211, 422, 844
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,891,667,844,968, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
891:3x 3x 3x 3x 11
667:23x 29
844:2x 2x 211
968:2x 2x 2x 11x 11
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 11x 11x 11 = 5324
Therefore, the value for common factors is 5324.
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 = 293749216247520/(1x5324)
LCM = 293749216247520/5324
LCM = 55174533480
Thus, we can understand that the LCM of 605,891,667,844,968 is 55174533480.
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FAQs on LCM of 605, 891, 667, 844, 968
1. What is the LCM of 605, 891, 667, 844, 968?
Answer: LCM of 605, 891, 667, 844, 968 is 55174533480.
2. How to calculate the LCM of 605, 891, 667, 844, 968?
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 605, 891, 667, 844, 968.
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}.