Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3257/898, 8482/256 quickly i.e. 13812937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3257/898, 8482/256 is 13812937.
LCM(3257/898, 8482/256) = 13812937
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3257/898,8482/256
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3257,8482
Least Common Multiple of Numerators i.e. LCM of 3257,8482 is 27625874.
GCF of Denominators means GCF of 898,256 as per the given fractions.
GCF of 898,256 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3257,8482
Given numbers has no common factors except 1. So, there LCM is their product i.e 27625874
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3257,8482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3257,8482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3257,8482) x common factors =1 x 1 = 1
LCM(3257,8482) = ( 3257 × 8482 ) / 1
LCM(3257,8482) = 27625874 / 1
LCM(3257,8482) = 27625874
Lets's calculate GCF of 898,256
2 | 898, 256 |
449, 128 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27625874/2
Therefore the LCM of Fractions 3257/898,8482/256 is 13812937
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 898,256 . The biggest common factor number is the GCF number.
So the greatest common factor 898,256 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3257/898, 8482/256?
Answer: LCM of Numerators as per given numbers 3257/898, 8482/256 is
LCM of Numerators i.e. for 3257,8482 is 27625874
GCF of denominators i.e. for 898,256 is 2.
Thus, LCM of Fractions is 13812937.Finally, LCM of Fractions for 3257/898, 8482/256 is 13812937.