Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/398, 2171/1069 quickly i.e. 4342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/398, 2171/1069 is 4342.
LCM(26/398, 2171/1069) = 4342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/398,2171/1069
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 26,2171
Least Common Multiple of Numerators i.e. LCM of 26,2171 is 4342.
GCF of Denominators means GCF of 398,1069 as per the given fractions.
GCF of 398,1069 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,2171
13 | 26, 2171 |
2, 167 |
∴ So the LCM of the given numbers is 13 x 2 x 167 = 4342
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 26,2171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,2171) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(26,2171) x common factors =13 x 1 = 13
LCM(26,2171) = ( 26 × 2171 ) / 13
LCM(26,2171) = 56446 / 13
LCM(26,2171) = 4342
Lets's calculate GCF of 398,1069
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4342/1
Therefore the LCM of Fractions 26/398,2171/1069 is 4342
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 1069
List of positive integer factors of 1069 that divides 1069 without a remainder.
1,1069
Greatest Common Factor
We found the factors 398,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 398,1069 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 26/398, 2171/1069?
Answer: LCM of Numerators as per given numbers 26/398, 2171/1069 is
LCM of Numerators i.e. for 26,2171 is 4342
GCF of denominators i.e. for 398,1069 is 1.
Thus, LCM of Fractions is 4342.Finally, LCM of Fractions for 26/398, 2171/1069 is 4342.