LCM of 128, 420, 431, 400, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 420, 431, 400, 892 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, 420, 431, 400, 892. So, keep reading to learn more.
Given numbers are 128,420,431,400,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,420,431,400,892 is 6458793600.
Find LCM of 128,420,431,400,892 with Prime Factorization
| 2 | 128, 420, 431, 400, 892 |
| 2 | 64, 210, 431, 200, 446 |
| 2 | 32, 105, 431, 100, 223 |
| 2 | 16, 105, 431, 50, 223 |
| 5 | 8, 105, 431, 25, 223 |
| 8, 21, 431, 5, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 8 x 21 x 431 x 5 x 223 = 6458793600
Therefore, the lowest common multiple of 128,420,431,400,892 is 6458793600.
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 420 x 431 x 400 x 892 = 8267255808000
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
431 : 1, 431
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,420,431,400,892, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
420:2x 2x 3x 5x 7
431:431
400:2x 2x 2x 2x 5x 5
892:2x 2x 223
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 2x 5 = 1280
Therefore, the value for common factors is 1280.
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 = 8267255808000/(1x1280)
LCM = 8267255808000/1280
LCM = 6458793600
Thus, we can understand that the LCM of 128,420,431,400,892 is 6458793600.
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FAQs on LCM of 128, 420, 431, 400, 892
1. What is the LCM of 128, 420, 431, 400, 892?
Answer: LCM of 128, 420, 431, 400, 892 is 6458793600.
2. How to calculate the LCM of 128, 420, 431, 400, 892?
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, 420, 431, 400, 892.
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}.