LCM of 315, 486, 729, 422, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 486, 729, 422, 591 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 315, 486, 729, 422, 591. So, keep reading to learn more.
Given numbers are 315,486,729,422,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,486,729,422,591 is 2121164010.
Find LCM of 315,486,729,422,591 with Prime Factorization
| 2 | 315, 486, 729, 422, 591 |
| 3 | 315, 243, 729, 211, 591 |
| 3 | 105, 81, 243, 211, 197 |
| 3 | 35, 27, 81, 211, 197 |
| 3 | 35, 9, 27, 211, 197 |
| 3 | 35, 3, 9, 211, 197 |
| 35, 1, 3, 211, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 35 x 1 x 3 x 211 x 197 = 2121164010
Therefore, the lowest common multiple of 315,486,729,422,591 is 2121164010.
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.
315 x 486 x 729 x 422 x 591 = 27833914139220
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
729 : 1, 3, 9, 27, 81, 243, 729
422 : 1, 2, 211, 422
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,486,729,422,591, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
486:2x 3x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
422:2x 211
591:3x 197
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 3x 3x 3x 3 = 13122
Therefore, the value for common factors is 13122.
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 = 27833914139220/(1x13122)
LCM = 27833914139220/13122
LCM = 2121164010
Thus, we can understand that the LCM of 315,486,729,422,591 is 2121164010.
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FAQs on LCM of 315, 486, 729, 422, 591
1. What is the LCM of 315, 486, 729, 422, 591?
Answer: LCM of 315, 486, 729, 422, 591 is 2121164010.
2. How to calculate the LCM of 315, 486, 729, 422, 591?
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 315, 486, 729, 422, 591.
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}.