Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/12, 374/3113 quickly i.e. 145112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/12, 374/3113 is 145112.
LCM(776/12, 374/3113) = 145112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/12,374/3113
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 776,374
Least Common Multiple of Numerators i.e. LCM of 776,374 is 145112.
GCF of Denominators means GCF of 12,3113 as per the given fractions.
GCF of 12,3113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,374
2 | 776, 374 |
388, 187 |
∴ So the LCM of the given numbers is 2 x 388 x 187 = 145112
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 776,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,374) x common factors =2 x 1 = 2
LCM(776,374) = ( 776 × 374 ) / 2
LCM(776,374) = 290224 / 2
LCM(776,374) = 145112
Lets's calculate GCF of 12,3113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145112/1
Therefore the LCM of Fractions 776/12,374/3113 is 145112
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 3113
List of positive integer factors of 3113 that divides 3113 without a remainder.
1,11,283,3113
Greatest Common Factor
We found the factors 12,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 12,3113 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 776/12, 374/3113?
Answer: LCM of Numerators as per given numbers 776/12, 374/3113 is
LCM of Numerators i.e. for 776,374 is 145112
GCF of denominators i.e. for 12,3113 is 1.
Thus, LCM of Fractions is 145112.Finally, LCM of Fractions for 776/12, 374/3113 is 145112.