LCM of 722, 428, 979, 712, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 428, 979, 712, 703 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 722, 428, 979, 712, 703. So, keep reading to learn more.
Given numbers are 722,428,979,712,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,428,979,712,703 is 11193486568.
Find LCM of 722,428,979,712,703 with Prime Factorization
| 2 | 722, 428, 979, 712, 703 |
| 2 | 361, 214, 979, 356, 703 |
| 19 | 361, 107, 979, 178, 703 |
| 89 | 19, 107, 979, 178, 37 |
| 19, 107, 11, 2, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 89 x 19 x 107 x 11 x 2 x 37 = 11193486568
Therefore, the lowest common multiple of 722,428,979,712,703 is 11193486568.
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.
722 x 428 x 979 x 712 x 703 = 151425486291904
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.
722 : 1, 2, 19, 38, 361, 722
428 : 1, 2, 4, 107, 214, 428
979 : 1, 11, 89, 979
712 : 1, 2, 4, 8, 89, 178, 356, 712
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,428,979,712,703, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
428:2x 2x 107
979:11x 89
712:2x 2x 2x 89
703:19x 37
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 19x 89 = 13528
Therefore, the value for common factors is 13528.
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 = 151425486291904/(1x13528)
LCM = 151425486291904/13528
LCM = 11193486568
Thus, we can understand that the LCM of 722,428,979,712,703 is 11193486568.
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FAQs on LCM of 722, 428, 979, 712, 703
1. What is the LCM of 722, 428, 979, 712, 703?
Answer: LCM of 722, 428, 979, 712, 703 is 11193486568.
2. How to calculate the LCM of 722, 428, 979, 712, 703?
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 722, 428, 979, 712, 703.
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}.