Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7584/244, 1119/5702 quickly i.e. 1414416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7584/244, 1119/5702 is 1414416.
LCM(7584/244, 1119/5702) = 1414416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7584/244,1119/5702
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 7584,1119
Least Common Multiple of Numerators i.e. LCM of 7584,1119 is 2828832.
GCF of Denominators means GCF of 244,5702 as per the given fractions.
GCF of 244,5702 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7584,1119
3 | 7584, 1119 |
2528, 373 |
∴ So the LCM of the given numbers is 3 x 2528 x 373 = 2828832
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 7584,1119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7584,1119) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7584,1119) x common factors =3 x 1 = 3
LCM(7584,1119) = ( 7584 × 1119 ) / 3
LCM(7584,1119) = 8486496 / 3
LCM(7584,1119) = 2828832
Lets's calculate GCF of 244,5702
2 | 244, 5702 |
122, 2851 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2828832/2
Therefore the LCM of Fractions 7584/244,1119/5702 is 1414416
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 5702
List of positive integer factors of 5702 that divides 5702 without a remainder.
1,2,2851,5702
Greatest Common Factor
We found the factors 244,5702 . The biggest common factor number is the GCF number.
So the greatest common factor 244,5702 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 7584/244, 1119/5702?
Answer: LCM of Numerators as per given numbers 7584/244, 1119/5702 is
LCM of Numerators i.e. for 7584,1119 is 2828832
GCF of denominators i.e. for 244,5702 is 2.
Thus, LCM of Fractions is 1414416.Finally, LCM of Fractions for 7584/244, 1119/5702 is 1414416.