LCM of 674, 820, 935, 683, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 820, 935, 683, 713 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, 820, 935, 683, 713. So, keep reading to learn more.
Given numbers are 674,820,935,683,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,820,935,683,713 is 25164922272820.
Find LCM of 674,820,935,683,713 with Prime Factorization
| 2 | 674, 820, 935, 683, 713 |
| 5 | 337, 410, 935, 683, 713 |
| 337, 82, 187, 683, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 337 x 82 x 187 x 683 x 713 = 25164922272820
Therefore, the lowest common multiple of 674,820,935,683,713 is 25164922272820.
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 820 x 935 x 683 x 713 = 251649222728200
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
935 : 1, 5, 11, 17, 55, 85, 187, 935
683 : 1, 683
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,820,935,683,713, is 1.
Now, the common factors can be found like this.
674:2x 337
820:2x 2x 5x 41
935:5x 11x 17
683:683
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 251649222728200/(1x10)
LCM = 251649222728200/10
LCM = 25164922272820
Thus, we can understand that the LCM of 674,820,935,683,713 is 25164922272820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 674, 820, 935, 683, 713
1. What is the LCM of 674, 820, 935, 683, 713?
Answer: LCM of 674, 820, 935, 683, 713 is 25164922272820.
2. How to calculate the LCM of 674, 820, 935, 683, 713?
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, 820, 935, 683, 713.
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}.