LCM of 114, 136, 268, 339, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 136, 268, 339, 718 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 114, 136, 268, 339, 718. So, keep reading to learn more.
Given numbers are 114,136,268,339,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,136,268,339,718 is 21069850728.
Find LCM of 114,136,268,339,718 with Prime Factorization
| 2 | 114, 136, 268, 339, 718 |
| 2 | 57, 68, 134, 339, 359 |
| 3 | 57, 34, 67, 339, 359 |
| 19, 34, 67, 113, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 34 x 67 x 113 x 359 = 21069850728
Therefore, the lowest common multiple of 114,136,268,339,718 is 21069850728.
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.
114 x 136 x 268 x 339 x 718 = 1011352834944
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
136 : 1, 2, 4, 8, 17, 34, 68, 136
268 : 1, 2, 4, 67, 134, 268
339 : 1, 3, 113, 339
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,136,268,339,718, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
136:2x 2x 2x 17
268:2x 2x 67
339:3x 113
718:2x 359
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 1011352834944/(1x48)
LCM = 1011352834944/48
LCM = 21069850728
Thus, we can understand that the LCM of 114,136,268,339,718 is 21069850728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 136, 268, 339, 718
1. What is the LCM of 114, 136, 268, 339, 718?
Answer: LCM of 114, 136, 268, 339, 718 is 21069850728.
2. How to calculate the LCM of 114, 136, 268, 339, 718?
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 114, 136, 268, 339, 718.
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}.