LCM of 856, 339, 727, 702, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 339, 727, 702, 268 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 856, 339, 727, 702, 268. So, keep reading to learn more.
Given numbers are 856,339,727,702,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,339,727,702,268 is 1653744977352.
Find LCM of 856,339,727,702,268 with Prime Factorization
| 2 | 856, 339, 727, 702, 268 |
| 2 | 428, 339, 727, 351, 134 |
| 3 | 214, 339, 727, 351, 67 |
| 214, 113, 727, 117, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 214 x 113 x 727 x 117 x 67 = 1653744977352
Therefore, the lowest common multiple of 856,339,727,702,268 is 1653744977352.
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.
856 x 339 x 727 x 702 x 268 = 39689879456448
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
339 : 1, 3, 113, 339
727 : 1, 727
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,339,727,702,268, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
339:3x 113
727:727
702:2x 3x 3x 3x 13
268:2x 2x 67
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 = 39689879456448/(1x24)
LCM = 39689879456448/24
LCM = 1653744977352
Thus, we can understand that the LCM of 856,339,727,702,268 is 1653744977352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 856, 339, 727, 702, 268
1. What is the LCM of 856, 339, 727, 702, 268?
Answer: LCM of 856, 339, 727, 702, 268 is 1653744977352.
2. How to calculate the LCM of 856, 339, 727, 702, 268?
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 856, 339, 727, 702, 268.
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}.