LCM of 703, 794, 676, 441, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 794, 676, 441, 171 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 703, 794, 676, 441, 171. So, keep reading to learn more.
Given numbers are 703,794,676,441,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,794,676,441,171 is 83201492556.
Find LCM of 703,794,676,441,171 with Prime Factorization
| 2 | 703, 794, 676, 441, 171 |
| 3 | 703, 397, 338, 441, 171 |
| 3 | 703, 397, 338, 147, 57 |
| 19 | 703, 397, 338, 49, 19 |
| 37, 397, 338, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 37 x 397 x 338 x 49 x 1 = 83201492556
Therefore, the lowest common multiple of 703,794,676,441,171 is 83201492556.
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.
703 x 794 x 676 x 441 x 171 = 28454910454152
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.
703 : 1, 19, 37, 703
794 : 1, 2, 397, 794
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,794,676,441,171, is 1.
Now, the common factors can be found like this.
703:19x 37
794:2x 397
676:2x 2x 13x 13
441:3x 3x 7x 7
171:3x 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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 28454910454152/(1x342)
LCM = 28454910454152/342
LCM = 83201492556
Thus, we can understand that the LCM of 703,794,676,441,171 is 83201492556.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 703, 794, 676, 441, 171
1. What is the LCM of 703, 794, 676, 441, 171?
Answer: LCM of 703, 794, 676, 441, 171 is 83201492556.
2. How to calculate the LCM of 703, 794, 676, 441, 171?
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 703, 794, 676, 441, 171.
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}.