Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4247/279, 3230/2274 quickly i.e. 13717810/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4247/279, 3230/2274 is 13717810/3.
LCM(4247/279, 3230/2274) = 13717810/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4247/279,3230/2274
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 4247,3230
Least Common Multiple of Numerators i.e. LCM of 4247,3230 is 13717810.
GCF of Denominators means GCF of 279,2274 as per the given fractions.
GCF of 279,2274 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4247,3230
Given numbers has no common factors except 1. So, there LCM is their product i.e 13717810
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 4247,3230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4247,3230) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4247,3230) x common factors =1 x 1 = 1
LCM(4247,3230) = ( 4247 × 3230 ) / 1
LCM(4247,3230) = 13717810 / 1
LCM(4247,3230) = 13717810
Lets's calculate GCF of 279,2274
3 | 279, 2274 |
93, 758 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13717810/3
Therefore the LCM of Fractions 4247/279,3230/2274 is 13717810/3
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 2274
List of positive integer factors of 2274 that divides 2274 without a remainder.
1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 279,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 279,2274 is 3.
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 4247/279, 3230/2274?
Answer: LCM of Numerators as per given numbers 4247/279, 3230/2274 is
LCM of Numerators i.e. for 4247,3230 is 13717810
GCF of denominators i.e. for 279,2274 is 3.
Thus, LCM of Fractions is 13717810/3.Finally, LCM of Fractions for 4247/279, 3230/2274 is 13717810/3.