Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/375, 1977/7931 quickly i.e. 152229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/375, 1977/7931 is 152229.
LCM(77/375, 1977/7931) = 152229
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/375,1977/7931
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 77,1977
Least Common Multiple of Numerators i.e. LCM of 77,1977 is 152229.
GCF of Denominators means GCF of 375,7931 as per the given fractions.
GCF of 375,7931 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,1977
Given numbers has no common factors except 1. So, there LCM is their product i.e 152229
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 77,1977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,1977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,1977) x common factors =1 x 1 = 1
LCM(77,1977) = ( 77 × 1977 ) / 1
LCM(77,1977) = 152229 / 1
LCM(77,1977) = 152229
Lets's calculate GCF of 375,7931
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152229/1
Therefore the LCM of Fractions 77/375,1977/7931 is 152229
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 7931
List of positive integer factors of 7931 that divides 7931 without a remainder.
1,7,11,77,103,721,1133,7931
Greatest Common Factor
We found the factors 375,7931 . The biggest common factor number is the GCF number.
So the greatest common factor 375,7931 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 77/375, 1977/7931?
Answer: LCM of Numerators as per given numbers 77/375, 1977/7931 is
LCM of Numerators i.e. for 77,1977 is 152229
GCF of denominators i.e. for 375,7931 is 1.
Thus, LCM of Fractions is 152229.Finally, LCM of Fractions for 77/375, 1977/7931 is 152229.