LCM of 486, 315, 782, 843, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 315, 782, 843, 538 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 486, 315, 782, 843, 538. So, keep reading to learn more.
Given numbers are 486,315,782,843,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,315,782,843,538 is 502735635990.
Find LCM of 486,315,782,843,538 with Prime Factorization
| 2 | 486, 315, 782, 843, 538 |
| 3 | 243, 315, 391, 843, 269 |
| 3 | 81, 105, 391, 281, 269 |
| 27, 35, 391, 281, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 27 x 35 x 391 x 281 x 269 = 502735635990
Therefore, the lowest common multiple of 486,315,782,843,538 is 502735635990.
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.
486 x 315 x 782 x 843 x 538 = 54295448686920
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
782 : 1, 2, 17, 23, 34, 46, 391, 782
843 : 1, 3, 281, 843
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,315,782,843,538, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
315:3x 3x 5x 7
782:2x 17x 23
843:3x 281
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 54295448686920/(1x108)
LCM = 54295448686920/108
LCM = 502735635990
Thus, we can understand that the LCM of 486,315,782,843,538 is 502735635990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 315, 782, 843, 538
1. What is the LCM of 486, 315, 782, 843, 538?
Answer: LCM of 486, 315, 782, 843, 538 is 502735635990.
2. How to calculate the LCM of 486, 315, 782, 843, 538?
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 486, 315, 782, 843, 538.
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}.