Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/386, 1057/8185 quickly i.e. 21140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/386, 1057/8185 is 21140.
LCM(20/386, 1057/8185) = 21140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/386,1057/8185
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 20,1057
Least Common Multiple of Numerators i.e. LCM of 20,1057 is 21140.
GCF of Denominators means GCF of 386,8185 as per the given fractions.
GCF of 386,8185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,1057
Given numbers has no common factors except 1. So, there LCM is their product i.e 21140
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 20,1057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,1057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,1057) x common factors =1 x 1 = 1
LCM(20,1057) = ( 20 × 1057 ) / 1
LCM(20,1057) = 21140 / 1
LCM(20,1057) = 21140
Lets's calculate GCF of 386,8185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21140/1
Therefore the LCM of Fractions 20/386,1057/8185 is 21140
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 8185
List of positive integer factors of 8185 that divides 8185 without a remainder.
1,5,1637,8185
Greatest Common Factor
We found the factors 386,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 386,8185 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 20/386, 1057/8185?
Answer: LCM of Numerators as per given numbers 20/386, 1057/8185 is
LCM of Numerators i.e. for 20,1057 is 21140
GCF of denominators i.e. for 386,8185 is 1.
Thus, LCM of Fractions is 21140.Finally, LCM of Fractions for 20/386, 1057/8185 is 21140.