LCM of 214, 522, 510, 968, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 522, 510, 968, 845 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 214, 522, 510, 968, 845. So, keep reading to learn more.
Given numbers are 214,522,510,968,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,522,510,968,845 is 388333871640.
Find LCM of 214,522,510,968,845 with Prime Factorization
| 2 | 214, 522, 510, 968, 845 |
| 3 | 107, 261, 255, 484, 845 |
| 5 | 107, 87, 85, 484, 845 |
| 107, 87, 17, 484, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 107 x 87 x 17 x 484 x 169 = 388333871640
Therefore, the lowest common multiple of 214,522,510,968,845 is 388333871640.
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.
214 x 522 x 510 x 968 x 845 = 46600064596800
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.
214 : 1, 2, 107, 214
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,522,510,968,845, is 1.
Now, the common factors can be found like this.
214:2x 107
522:2x 3x 3x 29
510:2x 3x 5x 17
968:2x 2x 2x 11x 11
845:5x 13x 13
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 46600064596800/(1x120)
LCM = 46600064596800/120
LCM = 388333871640
Thus, we can understand that the LCM of 214,522,510,968,845 is 388333871640.
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FAQs on LCM of 214, 522, 510, 968, 845
1. What is the LCM of 214, 522, 510, 968, 845?
Answer: LCM of 214, 522, 510, 968, 845 is 388333871640.
2. How to calculate the LCM of 214, 522, 510, 968, 845?
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 214, 522, 510, 968, 845.
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}.