Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 118/563, 1394/339 quickly i.e. 82246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 118/563, 1394/339 is 82246.
LCM(118/563, 1394/339) = 82246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 118/563,1394/339
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 118,1394
Least Common Multiple of Numerators i.e. LCM of 118,1394 is 82246.
GCF of Denominators means GCF of 563,339 as per the given fractions.
GCF of 563,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 118,1394
2 | 118, 1394 |
59, 697 |
∴ So the LCM of the given numbers is 2 x 59 x 697 = 82246
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 118,1394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,1394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,1394) x common factors =2 x 1 = 2
LCM(118,1394) = ( 118 × 1394 ) / 2
LCM(118,1394) = 164492 / 2
LCM(118,1394) = 82246
Lets's calculate GCF of 563,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82246/1
Therefore the LCM of Fractions 118/563,1394/339 is 82246
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 563,339 . The biggest common factor number is the GCF number.
So the greatest common factor 563,339 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 118/563, 1394/339?
Answer: LCM of Numerators as per given numbers 118/563, 1394/339 is
LCM of Numerators i.e. for 118,1394 is 82246
GCF of denominators i.e. for 563,339 is 1.
Thus, LCM of Fractions is 82246.Finally, LCM of Fractions for 118/563, 1394/339 is 82246.