LCM of 686, 780, 810, 635, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 780, 810, 635, 865 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, 780, 810, 635, 865. So, keep reading to learn more.
Given numbers are 686,780,810,635,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,780,810,635,865 is 158709276180.
Find LCM of 686,780,810,635,865 with Prime Factorization
| 2 | 686, 780, 810, 635, 865 |
| 3 | 343, 390, 405, 635, 865 |
| 5 | 343, 130, 135, 635, 865 |
| 343, 26, 27, 127, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 343 x 26 x 27 x 127 x 173 = 158709276180
Therefore, the lowest common multiple of 686,780,810,635,865 is 158709276180.
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 780 x 810 x 635 x 865 = 238063914270000
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
635 : 1, 5, 127, 635
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,780,810,635,865, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
780:2x 2x 3x 5x 13
810:2x 3x 3x 3x 3x 5
635:5x 127
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 5x 5 = 1500
Therefore, the value for common factors is 1500.
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 = 238063914270000/(1x1500)
LCM = 238063914270000/1500
LCM = 158709276180
Thus, we can understand that the LCM of 686,780,810,635,865 is 158709276180.
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FAQs on LCM of 686, 780, 810, 635, 865
1. What is the LCM of 686, 780, 810, 635, 865?
Answer: LCM of 686, 780, 810, 635, 865 is 158709276180.
2. How to calculate the LCM of 686, 780, 810, 635, 865?
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, 780, 810, 635, 865.
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}.