Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/124, 2168/9106 quickly i.e. 109484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/124, 2168/9106 is 109484.
LCM(202/124, 2168/9106) = 109484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/124,2168/9106
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 202,2168
Least Common Multiple of Numerators i.e. LCM of 202,2168 is 218968.
GCF of Denominators means GCF of 124,9106 as per the given fractions.
GCF of 124,9106 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,2168
2 | 202, 2168 |
101, 1084 |
∴ So the LCM of the given numbers is 2 x 101 x 1084 = 218968
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 202,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,2168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,2168) x common factors =2 x 1 = 2
LCM(202,2168) = ( 202 × 2168 ) / 2
LCM(202,2168) = 437936 / 2
LCM(202,2168) = 218968
Lets's calculate GCF of 124,9106
2 | 124, 9106 |
62, 4553 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218968/2
Therefore the LCM of Fractions 202/124,2168/9106 is 109484
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 9106
List of positive integer factors of 9106 that divides 9106 without a remainder.
1,2,29,58,157,314,4553,9106
Greatest Common Factor
We found the factors 124,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 124,9106 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 202/124, 2168/9106?
Answer: LCM of Numerators as per given numbers 202/124, 2168/9106 is
LCM of Numerators i.e. for 202,2168 is 218968
GCF of denominators i.e. for 124,9106 is 2.
Thus, LCM of Fractions is 109484.Finally, LCM of Fractions for 202/124, 2168/9106 is 109484.