LCM of 486, 324, 940, 378, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 324, 940, 378, 834 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, 324, 940, 378, 834. So, keep reading to learn more.
Given numbers are 486,324,940,378,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,324,940,378,834 is 222252660.
Find LCM of 486,324,940,378,834 with Prime Factorization
| 2 | 486, 324, 940, 378, 834 |
| 2 | 243, 162, 470, 189, 417 |
| 3 | 243, 81, 235, 189, 417 |
| 3 | 27, 81, 235, 63, 139 |
| 3 | 9, 27, 235, 21, 139 |
| 3 | 3, 9, 235, 7, 139 |
| 1, 3, 235, 7, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 1 x 3 x 235 x 7 x 139 = 222252660
Therefore, the lowest common multiple of 486,324,940,378,834 is 222252660.
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 324 x 940 x 378 x 834 = 46662390472320
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
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
834 : 1, 2, 3, 6, 139, 278, 417, 834
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,324,940,378,834, is 2.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
940:2x 2x 5x 47
378:2x 3x 3x 3x 7
834:2x 3x 139
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 2x 2x 3x 3x 3x 3x 3x 3x 3x 3 = 104976
Therefore, the value for common factors is 104976.
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 = 46662390472320/(2x104976)
LCM = 46662390472320/209952
LCM = 222252660
Thus, we can understand that the LCM of 486,324,940,378,834 is 222252660.
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FAQs on LCM of 486, 324, 940, 378, 834
1. What is the LCM of 486, 324, 940, 378, 834?
Answer: LCM of 486, 324, 940, 378, 834 is 222252660.
2. How to calculate the LCM of 486, 324, 940, 378, 834?
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, 324, 940, 378, 834.
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}.