Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 477/355, 433/558, 241/426 quickly i.e. 49776381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 477/355, 433/558, 241/426 is 49776381.
LCM(477/355, 433/558, 241/426) = 49776381
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 477/355,433/558,241/426
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 477,433,241
Least Common Multiple of Numerators i.e. LCM of 477,433,241 is 49776381.
GCF of Denominators means GCF of 355,558,426 as per the given fractions.
GCF of 355,558,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 477,433,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 49776381
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 477,433,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,433,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,433,241) x common factors =1 x 1 = 1
LCM(477,433,241) = ( 477 × 433 × 241 ) / 1
LCM(477,433,241) = 49776381 / 1
LCM(477,433,241) = 49776381
Lets's calculate GCF of 355,558,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49776381/1
Therefore the LCM of Fractions 477/355,433/558,241/426 is 49776381
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 355,558,426 . The biggest common factor number is the GCF number.
So the greatest common factor 355,558,426 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 477/355, 433/558, 241/426?
Answer: LCM of Numerators as per given numbers 477/355, 433/558, 241/426 is
LCM of Numerators i.e. for 477,433,241 is 49776381
GCF of denominators i.e. for 355,558,426 is 1.
Thus, LCM of Fractions is 49776381.Finally, LCM of Fractions for 477/355, 433/558, 241/426 is 49776381.