Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 102/781, 3117/2534 quickly i.e. 105978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 102/781, 3117/2534 is 105978.
LCM(102/781, 3117/2534) = 105978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 102/781,3117/2534
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 102,3117
Least Common Multiple of Numerators i.e. LCM of 102,3117 is 105978.
GCF of Denominators means GCF of 781,2534 as per the given fractions.
GCF of 781,2534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 102,3117
3 | 102, 3117 |
34, 1039 |
∴ So the LCM of the given numbers is 3 x 34 x 1039 = 105978
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 102,3117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,3117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,3117) x common factors =3 x 1 = 3
LCM(102,3117) = ( 102 × 3117 ) / 3
LCM(102,3117) = 317934 / 3
LCM(102,3117) = 105978
Lets's calculate GCF of 781,2534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105978/1
Therefore the LCM of Fractions 102/781,3117/2534 is 105978
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 2534
List of positive integer factors of 2534 that divides 2534 without a remainder.
1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 781,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 781,2534 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 102/781, 3117/2534?
Answer: LCM of Numerators as per given numbers 102/781, 3117/2534 is
LCM of Numerators i.e. for 102,3117 is 105978
GCF of denominators i.e. for 781,2534 is 1.
Thus, LCM of Fractions is 105978.Finally, LCM of Fractions for 102/781, 3117/2534 is 105978.