LCM of 810, 128, 994, 838, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 128, 994, 838, 378 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, 128, 994, 838, 378. So, keep reading to learn more.
Given numbers are 810,128,994,838,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,128,994,838,378 is 10795317120.
Find LCM of 810,128,994,838,378 with Prime Factorization
| 2 | 810, 128, 994, 838, 378 |
| 3 | 405, 64, 497, 419, 189 |
| 3 | 135, 64, 497, 419, 63 |
| 3 | 45, 64, 497, 419, 21 |
| 7 | 15, 64, 497, 419, 7 |
| 15, 64, 71, 419, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 15 x 64 x 71 x 419 x 1 = 10795317120
Therefore, the lowest common multiple of 810,128,994,838,378 is 10795317120.
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 128 x 994 x 838 x 378 = 32645038970880
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
128 : 1, 2, 4, 8, 16, 32, 64, 128
994 : 1, 2, 7, 14, 71, 142, 497, 994
838 : 1, 2, 419, 838
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,128,994,838,378, is 2.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
128:2x 2x 2x 2x 2x 2x 2
994:2x 7x 71
838:2x 419
378:2x 3x 3x 3x 7
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 32645038970880/(2x1512)
LCM = 32645038970880/3024
LCM = 10795317120
Thus, we can understand that the LCM of 810,128,994,838,378 is 10795317120.
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FAQs on LCM of 810, 128, 994, 838, 378
1. What is the LCM of 810, 128, 994, 838, 378?
Answer: LCM of 810, 128, 994, 838, 378 is 10795317120.
2. How to calculate the LCM of 810, 128, 994, 838, 378?
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, 128, 994, 838, 378.
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}.