Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4137/274, 3112/714 quickly i.e. 6437172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4137/274, 3112/714 is 6437172.
LCM(4137/274, 3112/714) = 6437172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4137/274,3112/714
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 4137,3112
Least Common Multiple of Numerators i.e. LCM of 4137,3112 is 12874344.
GCF of Denominators means GCF of 274,714 as per the given fractions.
GCF of 274,714 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4137,3112
Given numbers has no common factors except 1. So, there LCM is their product i.e 12874344
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 4137,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4137,3112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4137,3112) x common factors =1 x 1 = 1
LCM(4137,3112) = ( 4137 × 3112 ) / 1
LCM(4137,3112) = 12874344 / 1
LCM(4137,3112) = 12874344
Lets's calculate GCF of 274,714
2 | 274, 714 |
137, 357 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12874344/2
Therefore the LCM of Fractions 4137/274,3112/714 is 6437172
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 274,714 . The biggest common factor number is the GCF number.
So the greatest common factor 274,714 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 4137/274, 3112/714?
Answer: LCM of Numerators as per given numbers 4137/274, 3112/714 is
LCM of Numerators i.e. for 4137,3112 is 12874344
GCF of denominators i.e. for 274,714 is 2.
Thus, LCM of Fractions is 6437172.Finally, LCM of Fractions for 4137/274, 3112/714 is 6437172.