Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/922, 1139/9689 quickly i.e. 43282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/922, 1139/9689 is 43282.
LCM(38/922, 1139/9689) = 43282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/922,1139/9689
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 38,1139
Least Common Multiple of Numerators i.e. LCM of 38,1139 is 43282.
GCF of Denominators means GCF of 922,9689 as per the given fractions.
GCF of 922,9689 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,1139
Given numbers has no common factors except 1. So, there LCM is their product i.e 43282
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 38,1139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,1139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,1139) x common factors =1 x 1 = 1
LCM(38,1139) = ( 38 × 1139 ) / 1
LCM(38,1139) = 43282 / 1
LCM(38,1139) = 43282
Lets's calculate GCF of 922,9689
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43282/1
Therefore the LCM of Fractions 38/922,1139/9689 is 43282
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 9689
List of positive integer factors of 9689 that divides 9689 without a remainder.
1,9689
Greatest Common Factor
We found the factors 922,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 922,9689 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 38/922, 1139/9689?
Answer: LCM of Numerators as per given numbers 38/922, 1139/9689 is
LCM of Numerators i.e. for 38,1139 is 43282
GCF of denominators i.e. for 922,9689 is 1.
Thus, LCM of Fractions is 43282.Finally, LCM of Fractions for 38/922, 1139/9689 is 43282.