Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7925/296, 8716/195 quickly i.e. 69074300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7925/296, 8716/195 is 69074300.
LCM(7925/296, 8716/195) = 69074300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7925/296,8716/195
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 7925,8716
Least Common Multiple of Numerators i.e. LCM of 7925,8716 is 69074300.
GCF of Denominators means GCF of 296,195 as per the given fractions.
GCF of 296,195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7925,8716
Given numbers has no common factors except 1. So, there LCM is their product i.e 69074300
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 7925,8716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7925,8716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7925,8716) x common factors =1 x 1 = 1
LCM(7925,8716) = ( 7925 × 8716 ) / 1
LCM(7925,8716) = 69074300 / 1
LCM(7925,8716) = 69074300
Lets's calculate GCF of 296,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69074300/1
Therefore the LCM of Fractions 7925/296,8716/195 is 69074300
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 296,195 . The biggest common factor number is the GCF number.
So the greatest common factor 296,195 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 7925/296, 8716/195?
Answer: LCM of Numerators as per given numbers 7925/296, 8716/195 is
LCM of Numerators i.e. for 7925,8716 is 69074300
GCF of denominators i.e. for 296,195 is 1.
Thus, LCM of Fractions is 69074300.Finally, LCM of Fractions for 7925/296, 8716/195 is 69074300.