Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 255/197, 7288/6725 quickly i.e. 1858440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 255/197, 7288/6725 is 1858440.
LCM(255/197, 7288/6725) = 1858440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 255/197,7288/6725
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 255,7288
Least Common Multiple of Numerators i.e. LCM of 255,7288 is 1858440.
GCF of Denominators means GCF of 197,6725 as per the given fractions.
GCF of 197,6725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 255,7288
Given numbers has no common factors except 1. So, there LCM is their product i.e 1858440
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 255,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,7288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,7288) x common factors =1 x 1 = 1
LCM(255,7288) = ( 255 × 7288 ) / 1
LCM(255,7288) = 1858440 / 1
LCM(255,7288) = 1858440
Lets's calculate GCF of 197,6725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1858440/1
Therefore the LCM of Fractions 255/197,7288/6725 is 1858440
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 6725
List of positive integer factors of 6725 that divides 6725 without a remainder.
1,5,25,269,1345,6725
Greatest Common Factor
We found the factors 197,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 197,6725 is 1.
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 255/197, 7288/6725?
Answer: LCM of Numerators as per given numbers 255/197, 7288/6725 is
LCM of Numerators i.e. for 255,7288 is 1858440
GCF of denominators i.e. for 197,6725 is 1.
Thus, LCM of Fractions is 1858440.Finally, LCM of Fractions for 255/197, 7288/6725 is 1858440.