Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/73, 115/53, 109/520 quickly i.e. 12309370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/73, 115/53, 109/520 is 12309370.
LCM(982/73, 115/53, 109/520) = 12309370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/73,115/53,109/520
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 982,115,109
Least Common Multiple of Numerators i.e. LCM of 982,115,109 is 12309370.
GCF of Denominators means GCF of 73,53,520 as per the given fractions.
GCF of 73,53,520 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,115,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 12309370
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 982,115,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,115,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,115,109) x common factors =1 x 1 = 1
LCM(982,115,109) = ( 982 × 115 × 109 ) / 1
LCM(982,115,109) = 12309370 / 1
LCM(982,115,109) = 12309370
Lets's calculate GCF of 73,53,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12309370/1
Therefore the LCM of Fractions 982/73,115/53,109/520 is 12309370
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 73,53,520 . The biggest common factor number is the GCF number.
So the greatest common factor 73,53,520 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 982/73, 115/53, 109/520?
Answer: LCM of Numerators as per given numbers 982/73, 115/53, 109/520 is
LCM of Numerators i.e. for 982,115,109 is 12309370
GCF of denominators i.e. for 73,53,520 is 1.
Thus, LCM of Fractions is 12309370.Finally, LCM of Fractions for 982/73, 115/53, 109/520 is 12309370.