LCM of 686, 398, 385, 671, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 398, 385, 671, 687 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 686, 398, 385, 671, 687. So, keep reading to learn more.
Given numbers are 686,398,385,671,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,398,385,671,687 is 314649070890.
Find LCM of 686,398,385,671,687 with Prime Factorization
| 2 | 686, 398, 385, 671, 687 |
| 7 | 343, 199, 385, 671, 687 |
| 11 | 49, 199, 55, 671, 687 |
| 49, 199, 5, 61, 687 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 49 x 199 x 5 x 61 x 687 = 314649070890
Therefore, the lowest common multiple of 686,398,385,671,687 is 314649070890.
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.
686 x 398 x 385 x 671 x 687 = 48455956917060
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
398 : 1, 2, 199, 398
385 : 1, 5, 7, 11, 35, 55, 77, 385
671 : 1, 11, 61, 671
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,398,385,671,687, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
398:2x 199
385:5x 7x 11
671:11x 61
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 48455956917060/(1x154)
LCM = 48455956917060/154
LCM = 314649070890
Thus, we can understand that the LCM of 686,398,385,671,687 is 314649070890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 686, 398, 385, 671, 687
1. What is the LCM of 686, 398, 385, 671, 687?
Answer: LCM of 686, 398, 385, 671, 687 is 314649070890.
2. How to calculate the LCM of 686, 398, 385, 671, 687?
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 686, 398, 385, 671, 687.
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}.