Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 221/597, 419/938, 656/295 quickly i.e. 60744944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 221/597, 419/938, 656/295 is 60744944.
LCM(221/597, 419/938, 656/295) = 60744944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 221/597,419/938,656/295
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 221,419,656
Least Common Multiple of Numerators i.e. LCM of 221,419,656 is 60744944.
GCF of Denominators means GCF of 597,938,295 as per the given fractions.
GCF of 597,938,295 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 221,419,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 60744944
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 221,419,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,419,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,419,656) x common factors =1 x 1 = 1
LCM(221,419,656) = ( 221 × 419 × 656 ) / 1
LCM(221,419,656) = 60744944 / 1
LCM(221,419,656) = 60744944
Lets's calculate GCF of 597,938,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60744944/1
Therefore the LCM of Fractions 221/597,419/938,656/295 is 60744944
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 597,938,295 . The biggest common factor number is the GCF number.
So the greatest common factor 597,938,295 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 221/597, 419/938, 656/295?
Answer: LCM of Numerators as per given numbers 221/597, 419/938, 656/295 is
LCM of Numerators i.e. for 221,419,656 is 60744944
GCF of denominators i.e. for 597,938,295 is 1.
Thus, LCM of Fractions is 60744944.Finally, LCM of Fractions for 221/597, 419/938, 656/295 is 60744944.