Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/674, 4012/7249 quickly i.e. 220660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/674, 4012/7249 is 220660.
LCM(55/674, 4012/7249) = 220660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/674,4012/7249
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 55,4012
Least Common Multiple of Numerators i.e. LCM of 55,4012 is 220660.
GCF of Denominators means GCF of 674,7249 as per the given fractions.
GCF of 674,7249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,4012
Given numbers has no common factors except 1. So, there LCM is their product i.e 220660
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 55,4012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,4012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,4012) x common factors =1 x 1 = 1
LCM(55,4012) = ( 55 × 4012 ) / 1
LCM(55,4012) = 220660 / 1
LCM(55,4012) = 220660
Lets's calculate GCF of 674,7249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220660/1
Therefore the LCM of Fractions 55/674,4012/7249 is 220660
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 7249
List of positive integer factors of 7249 that divides 7249 without a remainder.
1,11,659,7249
Greatest Common Factor
We found the factors 674,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 674,7249 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 55/674, 4012/7249?
Answer: LCM of Numerators as per given numbers 55/674, 4012/7249 is
LCM of Numerators i.e. for 55,4012 is 220660
GCF of denominators i.e. for 674,7249 is 1.
Thus, LCM of Fractions is 220660.Finally, LCM of Fractions for 55/674, 4012/7249 is 220660.