LCM of 316, 398, 256, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 316, 398, 256, 284 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 316, 398, 256, 284. So, keep reading to learn more.
Given numbers are 316,398,256,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,398,256,284 is 285744896.
Find LCM of 316,398,256,284 with Prime Factorization
| 2 | 316, 398, 256, 284 |
| 2 | 158, 199, 128, 142 |
| 79, 199, 64, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 199 x 64 x 71 = 285744896
Therefore, the lowest common multiple of 316,398,256,284 is 285744896.
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.
316 x 398 x 256 x 284 = 9143836672
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.
316 : 1, 2, 4, 79, 158, 316
398 : 1, 2, 199, 398
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
284 : 1, 2, 4, 71, 142, 284
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,398,256,284, is 2.
Now, the common factors can be found like this.
316:2x 2x 79
398:2x 199
256:2x 2x 2x 2x 2x 2x 2x 2
284:2x 2x 71
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 2 = 16
Therefore, the value for common factors is 16.
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 = 9143836672/(2x16)
LCM = 9143836672/32
LCM = 285744896
Thus, we can understand that the LCM of 316,398,256,284 is 285744896.
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FAQs on LCM of 316, 398, 256, 284
1. What is the LCM of 316, 398, 256, 284?
Answer: LCM of 316, 398, 256, 284 is 285744896.
2. How to calculate the LCM of 316, 398, 256, 284?
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 316, 398, 256, 284.
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}.