LCM of 128, 823, 546, 204, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 823, 546, 204, 112 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 128, 823, 546, 204, 112. So, keep reading to learn more.
Given numbers are 128,823,546,204,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,823,546,204,112 is 488901504.
Find LCM of 128,823,546,204,112 with Prime Factorization
| 2 | 128, 823, 546, 204, 112 |
| 2 | 64, 823, 273, 102, 56 |
| 2 | 32, 823, 273, 51, 28 |
| 2 | 16, 823, 273, 51, 14 |
| 3 | 8, 823, 273, 51, 7 |
| 7 | 8, 823, 91, 17, 7 |
| 8, 823, 13, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 8 x 823 x 13 x 17 x 1 = 488901504
Therefore, the lowest common multiple of 128,823,546,204,112 is 488901504.
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.
128 x 823 x 546 x 204 x 112 = 1314167242752
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
823 : 1, 823
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,823,546,204,112, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
823:823
546:2x 3x 7x 13
204:2x 2x 3x 17
112:2x 2x 2x 2x 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 2x 2x 2x 2x 3x 7 = 2688
Therefore, the value for common factors is 2688.
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 = 1314167242752/(1x2688)
LCM = 1314167242752/2688
LCM = 488901504
Thus, we can understand that the LCM of 128,823,546,204,112 is 488901504.
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FAQs on LCM of 128, 823, 546, 204, 112
1. What is the LCM of 128, 823, 546, 204, 112?
Answer: LCM of 128, 823, 546, 204, 112 is 488901504.
2. How to calculate the LCM of 128, 823, 546, 204, 112?
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 128, 823, 546, 204, 112.
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}.