Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9881/920, 5267/6169 quickly i.e. 52043227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9881/920, 5267/6169 is 52043227.
LCM(9881/920, 5267/6169) = 52043227
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9881/920,5267/6169
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 9881,5267
Least Common Multiple of Numerators i.e. LCM of 9881,5267 is 52043227.
GCF of Denominators means GCF of 920,6169 as per the given fractions.
GCF of 920,6169 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9881,5267
Given numbers has no common factors except 1. So, there LCM is their product i.e 52043227
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 9881,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9881,5267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9881,5267) x common factors =1 x 1 = 1
LCM(9881,5267) = ( 9881 × 5267 ) / 1
LCM(9881,5267) = 52043227 / 1
LCM(9881,5267) = 52043227
Lets's calculate GCF of 920,6169
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52043227/1
Therefore the LCM of Fractions 9881/920,5267/6169 is 52043227
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 6169
List of positive integer factors of 6169 that divides 6169 without a remainder.
1,31,199,6169
Greatest Common Factor
We found the factors 920,6169 . The biggest common factor number is the GCF number.
So the greatest common factor 920,6169 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 9881/920, 5267/6169?
Answer: LCM of Numerators as per given numbers 9881/920, 5267/6169 is
LCM of Numerators i.e. for 9881,5267 is 52043227
GCF of denominators i.e. for 920,6169 is 1.
Thus, LCM of Fractions is 52043227.Finally, LCM of Fractions for 9881/920, 5267/6169 is 52043227.