LCM of 782, 685, 731, 361, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 685, 731, 361, 810 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 782, 685, 731, 361, 810. So, keep reading to learn more.
Given numbers are 782,685,731,361,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,685,731,361,810 is 673531638210.
Find LCM of 782,685,731,361,810 with Prime Factorization
| 2 | 782, 685, 731, 361, 810 |
| 5 | 391, 685, 731, 361, 405 |
| 17 | 391, 137, 731, 361, 81 |
| 23, 137, 43, 361, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 23 x 137 x 43 x 361 x 81 = 673531638210
Therefore, the lowest common multiple of 782,685,731,361,810 is 673531638210.
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.
782 x 685 x 731 x 361 x 810 = 114500378495700
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
685 : 1, 5, 137, 685
731 : 1, 17, 43, 731
361 : 1, 19, 361
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,685,731,361,810, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
685:5x 137
731:17x 43
361:19x 19
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 114500378495700/(1x170)
LCM = 114500378495700/170
LCM = 673531638210
Thus, we can understand that the LCM of 782,685,731,361,810 is 673531638210.
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FAQs on LCM of 782, 685, 731, 361, 810
1. What is the LCM of 782, 685, 731, 361, 810?
Answer: LCM of 782, 685, 731, 361, 810 is 673531638210.
2. How to calculate the LCM of 782, 685, 731, 361, 810?
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 782, 685, 731, 361, 810.
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}.