LCM of 660, 605, 345, 687, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 605, 345, 687, 683 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 660, 605, 345, 687, 683. So, keep reading to learn more.
Given numbers are 660,605,345,687,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,605,345,687,683 is 26116840860.
Find LCM of 660,605,345,687,683 with Prime Factorization
| 3 | 660, 605, 345, 687, 683 |
| 5 | 220, 605, 115, 229, 683 |
| 11 | 44, 121, 23, 229, 683 |
| 4, 11, 23, 229, 683 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 4 x 11 x 23 x 229 x 683 = 26116840860
Therefore, the lowest common multiple of 660,605,345,687,683 is 26116840860.
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.
660 x 605 x 345 x 687 x 683 = 64639181128500
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
605 : 1, 5, 11, 55, 121, 605
345 : 1, 3, 5, 15, 23, 69, 115, 345
687 : 1, 3, 229, 687
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,605,345,687,683, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
605:5x 11x 11
345:3x 5x 23
687:3x 229
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 11 = 2475
Therefore, the value for common factors is 2475.
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 = 64639181128500/(1x2475)
LCM = 64639181128500/2475
LCM = 26116840860
Thus, we can understand that the LCM of 660,605,345,687,683 is 26116840860.
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FAQs on LCM of 660, 605, 345, 687, 683
1. What is the LCM of 660, 605, 345, 687, 683?
Answer: LCM of 660, 605, 345, 687, 683 is 26116840860.
2. How to calculate the LCM of 660, 605, 345, 687, 683?
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 660, 605, 345, 687, 683.
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}.