Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/775, 6912/5528 quickly i.e. 656640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/775, 6912/5528 is 656640.
LCM(95/775, 6912/5528) = 656640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/775,6912/5528
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 95,6912
Least Common Multiple of Numerators i.e. LCM of 95,6912 is 656640.
GCF of Denominators means GCF of 775,5528 as per the given fractions.
GCF of 775,5528 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,6912
Given numbers has no common factors except 1. So, there LCM is their product i.e 656640
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 95,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,6912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,6912) x common factors =1 x 1 = 1
LCM(95,6912) = ( 95 × 6912 ) / 1
LCM(95,6912) = 656640 / 1
LCM(95,6912) = 656640
Lets's calculate GCF of 775,5528
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 656640/1
Therefore the LCM of Fractions 95/775,6912/5528 is 656640
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 5528
List of positive integer factors of 5528 that divides 5528 without a remainder.
1,2,4,8,691,1382,2764,5528
Greatest Common Factor
We found the factors 775,5528 . The biggest common factor number is the GCF number.
So the greatest common factor 775,5528 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 95/775, 6912/5528?
Answer: LCM of Numerators as per given numbers 95/775, 6912/5528 is
LCM of Numerators i.e. for 95,6912 is 656640
GCF of denominators i.e. for 775,5528 is 1.
Thus, LCM of Fractions is 656640.Finally, LCM of Fractions for 95/775, 6912/5528 is 656640.