LCM of 614, 344, 139, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 344, 139, 834 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 614, 344, 139, 834. So, keep reading to learn more.
Given numbers are 614,344,139,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,344,139,834 is 44038536.
Find LCM of 614,344,139,834 with Prime Factorization
| 2 | 614, 344, 139, 834 |
| 139 | 307, 172, 139, 417 |
| 307, 172, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 307 x 172 x 1 x 3 = 44038536
Therefore, the lowest common multiple of 614,344,139,834 is 44038536.
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.
614 x 344 x 139 x 834 = 24485426016
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.
614 : 1, 2, 307, 614
344 : 1, 2, 4, 8, 43, 86, 172, 344
139 : 1, 139
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,344,139,834, is 1.
Now, the common factors can be found like this.
614:2x 307
344:2x 2x 2x 43
139:139
834:2x 3x 139
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 139 = 556
Therefore, the value for common factors is 556.
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 = 24485426016/(1x556)
LCM = 24485426016/556
LCM = 44038536
Thus, we can understand that the LCM of 614,344,139,834 is 44038536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 344, 139, 834
1. What is the LCM of 614, 344, 139, 834?
Answer: LCM of 614, 344, 139, 834 is 44038536.
2. How to calculate the LCM of 614, 344, 139, 834?
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 614, 344, 139, 834.
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}.