Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2777/771, 8156/6992 quickly i.e. 22649212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2777/771, 8156/6992 is 22649212.
LCM(2777/771, 8156/6992) = 22649212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2777/771,8156/6992
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 2777,8156
Least Common Multiple of Numerators i.e. LCM of 2777,8156 is 22649212.
GCF of Denominators means GCF of 771,6992 as per the given fractions.
GCF of 771,6992 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2777,8156
Given numbers has no common factors except 1. So, there LCM is their product i.e 22649212
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 2777,8156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2777,8156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2777,8156) x common factors =1 x 1 = 1
LCM(2777,8156) = ( 2777 × 8156 ) / 1
LCM(2777,8156) = 22649212 / 1
LCM(2777,8156) = 22649212
Lets's calculate GCF of 771,6992
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22649212/1
Therefore the LCM of Fractions 2777/771,8156/6992 is 22649212
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 6992
List of positive integer factors of 6992 that divides 6992 without a remainder.
1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Greatest Common Factor
We found the factors 771,6992 . The biggest common factor number is the GCF number.
So the greatest common factor 771,6992 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 2777/771, 8156/6992?
Answer: LCM of Numerators as per given numbers 2777/771, 8156/6992 is
LCM of Numerators i.e. for 2777,8156 is 22649212
GCF of denominators i.e. for 771,6992 is 1.
Thus, LCM of Fractions is 22649212.Finally, LCM of Fractions for 2777/771, 8156/6992 is 22649212.