LCM of 714, 365, 613, 629, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 365, 613, 629, 917 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 714, 365, 613, 629, 917. So, keep reading to learn more.
Given numbers are 714,365,613,629,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,365,613,629,917 is 774327298710.
Find LCM of 714,365,613,629,917 with Prime Factorization
| 7 | 714, 365, 613, 629, 917 |
| 17 | 102, 365, 613, 629, 131 |
| 6, 365, 613, 37, 131 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 6 x 365 x 613 x 37 x 131 = 774327298710
Therefore, the lowest common multiple of 714,365,613,629,917 is 774327298710.
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.
714 x 365 x 613 x 629 x 917 = 92144948546490
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
365 : 1, 5, 73, 365
613 : 1, 613
629 : 1, 17, 37, 629
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,365,613,629,917, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
365:5x 73
613:613
629:17x 37
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 92144948546490/(1x119)
LCM = 92144948546490/119
LCM = 774327298710
Thus, we can understand that the LCM of 714,365,613,629,917 is 774327298710.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 714, 365, 613, 629, 917
1. What is the LCM of 714, 365, 613, 629, 917?
Answer: LCM of 714, 365, 613, 629, 917 is 774327298710.
2. How to calculate the LCM of 714, 365, 613, 629, 917?
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 714, 365, 613, 629, 917.
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}.