Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/775, 5135/4989 quickly i.e. 195130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/775, 5135/4989 is 195130.
LCM(38/775, 5135/4989) = 195130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/775,5135/4989
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 38,5135
Least Common Multiple of Numerators i.e. LCM of 38,5135 is 195130.
GCF of Denominators means GCF of 775,4989 as per the given fractions.
GCF of 775,4989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,5135
Given numbers has no common factors except 1. So, there LCM is their product i.e 195130
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 38,5135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,5135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,5135) x common factors =1 x 1 = 1
LCM(38,5135) = ( 38 × 5135 ) / 1
LCM(38,5135) = 195130 / 1
LCM(38,5135) = 195130
Lets's calculate GCF of 775,4989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195130/1
Therefore the LCM of Fractions 38/775,5135/4989 is 195130
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 4989
List of positive integer factors of 4989 that divides 4989 without a remainder.
1,3,1663,4989
Greatest Common Factor
We found the factors 775,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 775,4989 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 38/775, 5135/4989?
Answer: LCM of Numerators as per given numbers 38/775, 5135/4989 is
LCM of Numerators i.e. for 38,5135 is 195130
GCF of denominators i.e. for 775,4989 is 1.
Thus, LCM of Fractions is 195130.Finally, LCM of Fractions for 38/775, 5135/4989 is 195130.