Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 611/26, 888/9413 quickly i.e. 542568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 611/26, 888/9413 is 542568.
LCM(611/26, 888/9413) = 542568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 611/26,888/9413
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 611,888
Least Common Multiple of Numerators i.e. LCM of 611,888 is 542568.
GCF of Denominators means GCF of 26,9413 as per the given fractions.
GCF of 26,9413 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 611,888
Given numbers has no common factors except 1. So, there LCM is their product i.e 542568
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 611,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,888) x common factors =1 x 1 = 1
LCM(611,888) = ( 611 × 888 ) / 1
LCM(611,888) = 542568 / 1
LCM(611,888) = 542568
Lets's calculate GCF of 26,9413
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 542568/1
Therefore the LCM of Fractions 611/26,888/9413 is 542568
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 9413
List of positive integer factors of 9413 that divides 9413 without a remainder.
1,9413
Greatest Common Factor
We found the factors 26,9413 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9413 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 611/26, 888/9413?
Answer: LCM of Numerators as per given numbers 611/26, 888/9413 is
LCM of Numerators i.e. for 611,888 is 542568
GCF of denominators i.e. for 26,9413 is 1.
Thus, LCM of Fractions is 542568.Finally, LCM of Fractions for 611/26, 888/9413 is 542568.