Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8052/177, 7774/247 quickly i.e. 31298124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8052/177, 7774/247 is 31298124.
LCM(8052/177, 7774/247) = 31298124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8052/177,7774/247
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 8052,7774
Least Common Multiple of Numerators i.e. LCM of 8052,7774 is 31298124.
GCF of Denominators means GCF of 177,247 as per the given fractions.
GCF of 177,247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8052,7774
2 | 8052, 7774 |
4026, 3887 |
∴ So the LCM of the given numbers is 2 x 4026 x 3887 = 31298124
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 8052,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8052,7774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8052,7774) x common factors =2 x 1 = 2
LCM(8052,7774) = ( 8052 × 7774 ) / 2
LCM(8052,7774) = 62596248 / 2
LCM(8052,7774) = 31298124
Lets's calculate GCF of 177,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31298124/1
Therefore the LCM of Fractions 8052/177,7774/247 is 31298124
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 177,247 . The biggest common factor number is the GCF number.
So the greatest common factor 177,247 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 8052/177, 7774/247?
Answer: LCM of Numerators as per given numbers 8052/177, 7774/247 is
LCM of Numerators i.e. for 8052,7774 is 31298124
GCF of denominators i.e. for 177,247 is 1.
Thus, LCM of Fractions is 31298124.Finally, LCM of Fractions for 8052/177, 7774/247 is 31298124.