LCM of 810, 415, 997, 378, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 415, 997, 378, 291 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, 415, 997, 378, 291. So, keep reading to learn more.
Given numbers are 810,415,997,378,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,415,997,378,291 is 45512222490.
Find LCM of 810,415,997,378,291 with Prime Factorization
| 2 | 810, 415, 997, 378, 291 |
| 3 | 405, 415, 997, 189, 291 |
| 3 | 135, 415, 997, 63, 97 |
| 3 | 45, 415, 997, 21, 97 |
| 5 | 15, 415, 997, 7, 97 |
| 3, 83, 997, 7, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 3 x 83 x 997 x 7 x 97 = 45512222490
Therefore, the lowest common multiple of 810,415,997,378,291 is 45512222490.
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 415 x 997 x 378 x 291 = 36864900216900
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
415 : 1, 5, 83, 415
997 : 1, 997
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,415,997,378,291, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
415:5x 83
997:997
378:2x 3x 3x 3x 7
291:3x 97
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 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 36864900216900/(1x810)
LCM = 36864900216900/810
LCM = 45512222490
Thus, we can understand that the LCM of 810,415,997,378,291 is 45512222490.
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FAQs on LCM of 810, 415, 997, 378, 291
1. What is the LCM of 810, 415, 997, 378, 291?
Answer: LCM of 810, 415, 997, 378, 291 is 45512222490.
2. How to calculate the LCM of 810, 415, 997, 378, 291?
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, 415, 997, 378, 291.
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}.