Find the LCM of 791, 462, 788, 182, 789 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 791, 462, 788, 182, 789. So, keep reading to learn more.
Given numbers are 791,462,788,182,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,462,788,182,789 is 70325971716.
Find LCM of 791,462,788,182,789 with Prime Factorization
2 | 791, 462, 788, 182, 789 |
3 | 791, 231, 394, 91, 789 |
7 | 791, 77, 394, 91, 263 |
113, 11, 394, 13, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 113 x 11 x 394 x 13 x 263 = 70325971716
Therefore, the lowest common multiple of 791,462,788,182,789 is 70325971716.
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.
791 x 462 x 788 x 182 x 789 = 41351671369008
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.
791 : 1, 7, 113, 791
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
788 : 1, 2, 4, 197, 394, 788
182 : 1, 2, 7, 13, 14, 26, 91, 182
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,462,788,182,789, is 1.
Now, the common factors can be found like this.
791:7x 113
462:2x 3x 7x 11
788:2x 2x 197
182:2x 7x 13
789:3x 263
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 41351671369008/(1x588)
LCM = 41351671369008/588
LCM = 70325971716
Thus, we can understand that the LCM of 791,462,788,182,789 is 70325971716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 462, 788, 182, 789?
Answer: LCM of 791, 462, 788, 182, 789 is 70325971716.
2. How to calculate the LCM of 791, 462, 788, 182, 789?
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 791, 462, 788, 182, 789.
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}.