LCM of 789, 690, 713, 789, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 690, 713, 789, 721 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 789, 690, 713, 789, 721. So, keep reading to learn more.
Given numbers are 789,690,713,789,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,690,713,789,721 is 4056035970.
Find LCM of 789,690,713,789,721 with Prime Factorization
| 3 | 789, 690, 713, 789, 721 |
| 23 | 263, 230, 713, 263, 721 |
| 263 | 263, 10, 31, 263, 721 |
| 1, 10, 31, 1, 721 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 263 x 1 x 10 x 31 x 1 x 721 = 4056035970
Therefore, the lowest common multiple of 789,690,713,789,721 is 4056035970.
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.
789 x 690 x 713 x 789 x 721 = 220814654242770
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.
789 : 1, 3, 263, 789
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
713 : 1, 23, 31, 713
789 : 1, 3, 263, 789
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,690,713,789,721, is 1.
Now, the common factors can be found like this.
789:3x 263
690:2x 3x 5x 23
713:23x 31
789:3x 263
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23x 263 = 54441
Therefore, the value for common factors is 54441.
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 = 220814654242770/(1x54441)
LCM = 220814654242770/54441
LCM = 4056035970
Thus, we can understand that the LCM of 789,690,713,789,721 is 4056035970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 690, 713, 789, 721
1. What is the LCM of 789, 690, 713, 789, 721?
Answer: LCM of 789, 690, 713, 789, 721 is 4056035970.
2. How to calculate the LCM of 789, 690, 713, 789, 721?
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 789, 690, 713, 789, 721.
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}.