Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 541/20, 349/2902 quickly i.e. 188809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 541/20, 349/2902 is 188809/2.
LCM(541/20, 349/2902) = 188809/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 541/20,349/2902
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 541,349
Least Common Multiple of Numerators i.e. LCM of 541,349 is 188809.
GCF of Denominators means GCF of 20,2902 as per the given fractions.
GCF of 20,2902 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 541,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 188809
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 541,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,349) x common factors =1 x 1 = 1
LCM(541,349) = ( 541 × 349 ) / 1
LCM(541,349) = 188809 / 1
LCM(541,349) = 188809
Lets's calculate GCF of 20,2902
2 | 20, 2902 |
10, 1451 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188809/2
Therefore the LCM of Fractions 541/20,349/2902 is 188809/2
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1,2,1451,2902
Greatest Common Factor
We found the factors 20,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2902 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 541/20, 349/2902?
Answer: LCM of Numerators as per given numbers 541/20, 349/2902 is
LCM of Numerators i.e. for 541,349 is 188809
GCF of denominators i.e. for 20,2902 is 2.
Thus, LCM of Fractions is 188809/2.Finally, LCM of Fractions for 541/20, 349/2902 is 188809/2.