LCM of 685, 339, 921, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 339, 921, 791 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 685, 339, 921, 791. So, keep reading to learn more.
Given numbers are 685,339,921,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,339,921,791 is 499030035.
Find LCM of 685,339,921,791 with Prime Factorization
| 3 | 685, 339, 921, 791 |
| 113 | 685, 113, 307, 791 |
| 685, 1, 307, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 685 x 1 x 307 x 7 = 499030035
Therefore, the lowest common multiple of 685,339,921,791 is 499030035.
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.
685 x 339 x 921 x 791 = 169171181865
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.
685 : 1, 5, 137, 685
339 : 1, 3, 113, 339
921 : 1, 3, 307, 921
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,339,921,791, is 1.
Now, the common factors can be found like this.
685:5x 137
339:3x 113
921:3x 307
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 113 = 339
Therefore, the value for common factors is 339.
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 = 169171181865/(1x339)
LCM = 169171181865/339
LCM = 499030035
Thus, we can understand that the LCM of 685,339,921,791 is 499030035.
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FAQs on LCM of 685, 339, 921, 791
1. What is the LCM of 685, 339, 921, 791?
Answer: LCM of 685, 339, 921, 791 is 499030035.
2. How to calculate the LCM of 685, 339, 921, 791?
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 685, 339, 921, 791.
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}.