Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2060/98, 1039/613 quickly i.e. 2140340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2060/98, 1039/613 is 2140340.
LCM(2060/98, 1039/613) = 2140340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2060/98,1039/613
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 2060,1039
Least Common Multiple of Numerators i.e. LCM of 2060,1039 is 2140340.
GCF of Denominators means GCF of 98,613 as per the given fractions.
GCF of 98,613 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2060,1039
Given numbers has no common factors except 1. So, there LCM is their product i.e 2140340
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 2060,1039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2060,1039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2060,1039) x common factors =1 x 1 = 1
LCM(2060,1039) = ( 2060 × 1039 ) / 1
LCM(2060,1039) = 2140340 / 1
LCM(2060,1039) = 2140340
Lets's calculate GCF of 98,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2140340/1
Therefore the LCM of Fractions 2060/98,1039/613 is 2140340
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 98,613 . The biggest common factor number is the GCF number.
So the greatest common factor 98,613 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 2060/98, 1039/613?
Answer: LCM of Numerators as per given numbers 2060/98, 1039/613 is
LCM of Numerators i.e. for 2060,1039 is 2140340
GCF of denominators i.e. for 98,613 is 1.
Thus, LCM of Fractions is 2140340.Finally, LCM of Fractions for 2060/98, 1039/613 is 2140340.