LCM of 810, 917, 903, 862, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 917, 903, 862, 229 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, 917, 903, 862, 229. So, keep reading to learn more.
Given numbers are 810,917,903,862,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,917,903,862,229 is 3152358217890.
Find LCM of 810,917,903,862,229 with Prime Factorization
| 2 | 810, 917, 903, 862, 229 |
| 3 | 405, 917, 903, 431, 229 |
| 7 | 135, 917, 301, 431, 229 |
| 135, 131, 43, 431, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 135 x 131 x 43 x 431 x 229 = 3152358217890
Therefore, the lowest common multiple of 810,917,903,862,229 is 3152358217890.
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 917 x 903 x 862 x 229 = 132399045151380
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
917 : 1, 7, 131, 917
903 : 1, 3, 7, 21, 43, 129, 301, 903
862 : 1, 2, 431, 862
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,917,903,862,229, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
917:7x 131
903:3x 7x 43
862:2x 431
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 132399045151380/(1x42)
LCM = 132399045151380/42
LCM = 3152358217890
Thus, we can understand that the LCM of 810,917,903,862,229 is 3152358217890.
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FAQs on LCM of 810, 917, 903, 862, 229
1. What is the LCM of 810, 917, 903, 862, 229?
Answer: LCM of 810, 917, 903, 862, 229 is 3152358217890.
2. How to calculate the LCM of 810, 917, 903, 862, 229?
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, 917, 903, 862, 229.
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}.