Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/75, 646/1757 quickly i.e. 317186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/75, 646/1757 is 317186.
LCM(982/75, 646/1757) = 317186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/75,646/1757
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 982,646
Least Common Multiple of Numerators i.e. LCM of 982,646 is 317186.
GCF of Denominators means GCF of 75,1757 as per the given fractions.
GCF of 75,1757 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,646
2 | 982, 646 |
491, 323 |
∴ So the LCM of the given numbers is 2 x 491 x 323 = 317186
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 982,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,646) x common factors =2 x 1 = 2
LCM(982,646) = ( 982 × 646 ) / 2
LCM(982,646) = 634372 / 2
LCM(982,646) = 317186
Lets's calculate GCF of 75,1757
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317186/1
Therefore the LCM of Fractions 982/75,646/1757 is 317186
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 1757
List of positive integer factors of 1757 that divides 1757 without a remainder.
1,7,251,1757
Greatest Common Factor
We found the factors 75,1757 . The biggest common factor number is the GCF number.
So the greatest common factor 75,1757 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 982/75, 646/1757?
Answer: LCM of Numerators as per given numbers 982/75, 646/1757 is
LCM of Numerators i.e. for 982,646 is 317186
GCF of denominators i.e. for 75,1757 is 1.
Thus, LCM of Fractions is 317186.Finally, LCM of Fractions for 982/75, 646/1757 is 317186.