Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7973/158, 8763/5131 quickly i.e. 69867399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7973/158, 8763/5131 is 69867399.
LCM(7973/158, 8763/5131) = 69867399
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7973/158,8763/5131
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 7973,8763
Least Common Multiple of Numerators i.e. LCM of 7973,8763 is 69867399.
GCF of Denominators means GCF of 158,5131 as per the given fractions.
GCF of 158,5131 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7973,8763
Given numbers has no common factors except 1. So, there LCM is their product i.e 69867399
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 7973,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7973,8763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7973,8763) x common factors =1 x 1 = 1
LCM(7973,8763) = ( 7973 × 8763 ) / 1
LCM(7973,8763) = 69867399 / 1
LCM(7973,8763) = 69867399
Lets's calculate GCF of 158,5131
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69867399/1
Therefore the LCM of Fractions 7973/158,8763/5131 is 69867399
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 5131
List of positive integer factors of 5131 that divides 5131 without a remainder.
1,7,733,5131
Greatest Common Factor
We found the factors 158,5131 . The biggest common factor number is the GCF number.
So the greatest common factor 158,5131 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 7973/158, 8763/5131?
Answer: LCM of Numerators as per given numbers 7973/158, 8763/5131 is
LCM of Numerators i.e. for 7973,8763 is 69867399
GCF of denominators i.e. for 158,5131 is 1.
Thus, LCM of Fractions is 69867399.Finally, LCM of Fractions for 7973/158, 8763/5131 is 69867399.