LCM of 789, 263, 626, 455, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 263, 626, 455, 685 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, 263, 626, 455, 685. So, keep reading to learn more.
Given numbers are 789,263,626,455,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,263,626,455,685 is 30788129190.
Find LCM of 789,263,626,455,685 with Prime Factorization
| 5 | 789, 263, 626, 455, 685 |
| 263 | 789, 263, 626, 91, 137 |
| 3, 1, 626, 91, 137 |
Multiply the prime numbers at the bottom and the left side.
5 x 263 x 3 x 1 x 626 x 91 x 137 = 30788129190
Therefore, the lowest common multiple of 789,263,626,455,685 is 30788129190.
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 263 x 626 x 455 x 685 = 40486389884850
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
263 : 1, 263
626 : 1, 2, 313, 626
455 : 1, 5, 7, 13, 35, 65, 91, 455
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,263,626,455,685, is 1.
Now, the common factors can be found like this.
789:3x 263
263:263
626:2x 313
455:5x 7x 13
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 263 = 1315
Therefore, the value for common factors is 1315.
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 = 40486389884850/(1x1315)
LCM = 40486389884850/1315
LCM = 30788129190
Thus, we can understand that the LCM of 789,263,626,455,685 is 30788129190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 263, 626, 455, 685
1. What is the LCM of 789, 263, 626, 455, 685?
Answer: LCM of 789, 263, 626, 455, 685 is 30788129190.
2. How to calculate the LCM of 789, 263, 626, 455, 685?
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, 263, 626, 455, 685.
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}.