Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 877/76, 931/3942 quickly i.e. 816487/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 877/76, 931/3942 is 816487/2.
LCM(877/76, 931/3942) = 816487/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 877/76,931/3942
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 877,931
Least Common Multiple of Numerators i.e. LCM of 877,931 is 816487.
GCF of Denominators means GCF of 76,3942 as per the given fractions.
GCF of 76,3942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 877,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 816487
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 877,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,931) x common factors =1 x 1 = 1
LCM(877,931) = ( 877 × 931 ) / 1
LCM(877,931) = 816487 / 1
LCM(877,931) = 816487
Lets's calculate GCF of 76,3942
2 | 76, 3942 |
38, 1971 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816487/2
Therefore the LCM of Fractions 877/76,931/3942 is 816487/2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 3942
List of positive integer factors of 3942 that divides 3942 without a remainder.
1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Greatest Common Factor
We found the factors 76,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 76,3942 is 2.
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 877/76, 931/3942?
Answer: LCM of Numerators as per given numbers 877/76, 931/3942 is
LCM of Numerators i.e. for 877,931 is 816487
GCF of denominators i.e. for 76,3942 is 2.
Thus, LCM of Fractions is 816487/2.Finally, LCM of Fractions for 877/76, 931/3942 is 816487/2.