LCM of 810, 701, 667, 772, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 701, 667, 772, 943 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 810, 701, 667, 772, 943. So, keep reading to learn more.
Given numbers are 810,701,667,772,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,701,667,772,943 is 5993769427020.
Find LCM of 810,701,667,772,943 with Prime Factorization
| 2 | 810, 701, 667, 772, 943 |
| 23 | 405, 701, 667, 386, 943 |
| 405, 701, 29, 386, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 405 x 701 x 29 x 386 x 41 = 5993769427020
Therefore, the lowest common multiple of 810,701,667,772,943 is 5993769427020.
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.
810 x 701 x 667 x 772 x 943 = 275713393642920
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
701 : 1, 701
667 : 1, 23, 29, 667
772 : 1, 2, 4, 193, 386, 772
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,701,667,772,943, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
701:701
667:23x 29
772:2x 2x 193
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 275713393642920/(1x46)
LCM = 275713393642920/46
LCM = 5993769427020
Thus, we can understand that the LCM of 810,701,667,772,943 is 5993769427020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 810, 701, 667, 772, 943
1. What is the LCM of 810, 701, 667, 772, 943?
Answer: LCM of 810, 701, 667, 772, 943 is 5993769427020.
2. How to calculate the LCM of 810, 701, 667, 772, 943?
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 810, 701, 667, 772, 943.
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}.