LCM of 114, 713, 959, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 713, 959, 342 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, 713, 959, 342. So, keep reading to learn more.
Given numbers are 114,713,959,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,713,959,342 is 233848314.
Find LCM of 114,713,959,342 with Prime Factorization
| 2 | 114, 713, 959, 342 |
| 3 | 57, 713, 959, 171 |
| 19 | 19, 713, 959, 57 |
| 1, 713, 959, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 1 x 713 x 959 x 3 = 233848314
Therefore, the lowest common multiple of 114,713,959,342 is 233848314.
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 713 x 959 x 342 = 26658707796
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
713 : 1, 23, 31, 713
959 : 1, 7, 137, 959
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,713,959,342, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
713:23x 31
959:7x 137
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 26658707796/(1x114)
LCM = 26658707796/114
LCM = 233848314
Thus, we can understand that the LCM of 114,713,959,342 is 233848314.
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FAQs on LCM of 114, 713, 959, 342
1. What is the LCM of 114, 713, 959, 342?
Answer: LCM of 114, 713, 959, 342 is 233848314.
2. How to calculate the LCM of 114, 713, 959, 342?
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, 713, 959, 342.
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}.