Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/867, 31/289 quickly i.e. 775/289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/867, 31/289 is 775/289.
LCM(25/867, 31/289) = 775/289
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/867,31/289
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 25,31
Least Common Multiple of Numerators i.e. LCM of 25,31 is 775.
GCF of Denominators means GCF of 867,289 as per the given fractions.
GCF of 867,289 is 289 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 775
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 25,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,31) x common factors =1 x 1 = 1
LCM(25,31) = ( 25 × 31 ) / 1
LCM(25,31) = 775 / 1
LCM(25,31) = 775
Lets's calculate GCF of 867,289
17 | 867, 289 |
17 | 51, 17 |
3, 1 |
∴ So the GCF of the given numbers is 17 x 17 = 289
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775/289
Therefore the LCM of Fractions 25/867,31/289 is 775/289
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Greatest Common Factor
We found the factors 867,289 . The biggest common factor number is the GCF number.
So the greatest common factor 867,289 is 289.
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 25/867, 31/289?
Answer: LCM of Numerators as per given numbers 25/867, 31/289 is
LCM of Numerators i.e. for 25,31 is 775
GCF of denominators i.e. for 867,289 is 289.
Thus, LCM of Fractions is 775/289.Finally, LCM of Fractions for 25/867, 31/289 is 775/289.