Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8020/119, 1297/557 quickly i.e. 10401940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8020/119, 1297/557 is 10401940.
LCM(8020/119, 1297/557) = 10401940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8020/119,1297/557
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 8020,1297
Least Common Multiple of Numerators i.e. LCM of 8020,1297 is 10401940.
GCF of Denominators means GCF of 119,557 as per the given fractions.
GCF of 119,557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8020,1297
Given numbers has no common factors except 1. So, there LCM is their product i.e 10401940
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 8020,1297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8020,1297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8020,1297) x common factors =1 x 1 = 1
LCM(8020,1297) = ( 8020 × 1297 ) / 1
LCM(8020,1297) = 10401940 / 1
LCM(8020,1297) = 10401940
Lets's calculate GCF of 119,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10401940/1
Therefore the LCM of Fractions 8020/119,1297/557 is 10401940
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 119,557 . The biggest common factor number is the GCF number.
So the greatest common factor 119,557 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 8020/119, 1297/557?
Answer: LCM of Numerators as per given numbers 8020/119, 1297/557 is
LCM of Numerators i.e. for 8020,1297 is 10401940
GCF of denominators i.e. for 119,557 is 1.
Thus, LCM of Fractions is 10401940.Finally, LCM of Fractions for 8020/119, 1297/557 is 10401940.