LCM of 381, 284, 160, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 284, 160, 254 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 381, 284, 160, 254. So, keep reading to learn more.
Given numbers are 381,284,160,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,284,160,254 is 4328160.
Find LCM of 381,284,160,254 with Prime Factorization
| 2 | 381, 284, 160, 254 |
| 2 | 381, 142, 80, 127 |
| 127 | 381, 71, 40, 127 |
| 3, 71, 40, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 127 x 3 x 71 x 40 x 1 = 4328160
Therefore, the lowest common multiple of 381,284,160,254 is 4328160.
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.
381 x 284 x 160 x 254 = 4397410560
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.
381 : 1, 3, 127, 381
284 : 1, 2, 4, 71, 142, 284
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,284,160,254, is 1.
Now, the common factors can be found like this.
381:3x 127
284:2x 2x 71
160:2x 2x 2x 2x 2x 5
254:2x 127
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 127 = 1016
Therefore, the value for common factors is 1016.
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 = 4397410560/(1x1016)
LCM = 4397410560/1016
LCM = 4328160
Thus, we can understand that the LCM of 381,284,160,254 is 4328160.
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FAQs on LCM of 381, 284, 160, 254
1. What is the LCM of 381, 284, 160, 254?
Answer: LCM of 381, 284, 160, 254 is 4328160.
2. How to calculate the LCM of 381, 284, 160, 254?
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 381, 284, 160, 254.
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}.