LCM of 676, 341, 713, 508, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 341, 713, 508, 696 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 676, 341, 713, 508, 696. So, keep reading to learn more.
Given numbers are 676,341,713,508,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,341,713,508,696 is 117160679064.
Find LCM of 676,341,713,508,696 with Prime Factorization
| 2 | 676, 341, 713, 508, 696 |
| 2 | 338, 341, 713, 254, 348 |
| 31 | 169, 341, 713, 127, 174 |
| 169, 11, 23, 127, 174 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 169 x 11 x 23 x 127 x 174 = 117160679064
Therefore, the lowest common multiple of 676,341,713,508,696 is 117160679064.
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.
676 x 341 x 713 x 508 x 696 = 58111696815744
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
341 : 1, 11, 31, 341
713 : 1, 23, 31, 713
508 : 1, 2, 4, 127, 254, 508
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,341,713,508,696, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
341:11x 31
713:23x 31
508:2x 2x 127
696:2x 2x 2x 3x 29
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 31 = 496
Therefore, the value for common factors is 496.
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 = 58111696815744/(1x496)
LCM = 58111696815744/496
LCM = 117160679064
Thus, we can understand that the LCM of 676,341,713,508,696 is 117160679064.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 676, 341, 713, 508, 696
1. What is the LCM of 676, 341, 713, 508, 696?
Answer: LCM of 676, 341, 713, 508, 696 is 117160679064.
2. How to calculate the LCM of 676, 341, 713, 508, 696?
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 676, 341, 713, 508, 696.
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}.