LCM of 674, 685, 390, 695, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 685, 390, 695, 831 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 674, 685, 390, 695, 831. So, keep reading to learn more.
Given numbers are 674,685,390,695,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,685,390,695,831 is 693281552730.
Find LCM of 674,685,390,695,831 with Prime Factorization
| 2 | 674, 685, 390, 695, 831 |
| 3 | 337, 685, 195, 695, 831 |
| 5 | 337, 685, 65, 695, 277 |
| 337, 137, 13, 139, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 337 x 137 x 13 x 139 x 277 = 693281552730
Therefore, the lowest common multiple of 674,685,390,695,831 is 693281552730.
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.
674 x 685 x 390 x 695 x 831 = 103992232909500
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.
674 : 1, 2, 337, 674
685 : 1, 5, 137, 685
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
695 : 1, 5, 139, 695
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,685,390,695,831, is 1.
Now, the common factors can be found like this.
674:2x 337
685:5x 137
390:2x 3x 5x 13
695:5x 139
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 103992232909500/(1x150)
LCM = 103992232909500/150
LCM = 693281552730
Thus, we can understand that the LCM of 674,685,390,695,831 is 693281552730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 674, 685, 390, 695, 831
1. What is the LCM of 674, 685, 390, 695, 831?
Answer: LCM of 674, 685, 390, 695, 831 is 693281552730.
2. How to calculate the LCM of 674, 685, 390, 695, 831?
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 674, 685, 390, 695, 831.
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}.