Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/244, 374/31, 791/990 quickly i.e. 5620846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/244, 374/31, 791/990 is 5620846.
LCM(38/244, 374/31, 791/990) = 5620846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/244,374/31,791/990
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 38,374,791
Least Common Multiple of Numerators i.e. LCM of 38,374,791 is 5620846.
GCF of Denominators means GCF of 244,31,990 as per the given fractions.
GCF of 244,31,990 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,374,791
2 | 38, 374, 791 |
19, 187, 791 |
∴ So the LCM of the given numbers is 2 x 19 x 187 x 791 = 5620846
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 38,374,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,374,791) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,374,791) x common factors =1 x 2 = 2
LCM(38,374,791) = ( 38 × 374 × 791 ) / 2
LCM(38,374,791) = 11241692 / 2
LCM(38,374,791) = 5620846
Lets's calculate GCF of 244,31,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5620846/1
Therefore the LCM of Fractions 38/244,374/31,791/990 is 5620846
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 244,31,990 . The biggest common factor number is the GCF number.
So the greatest common factor 244,31,990 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 38/244, 374/31, 791/990?
Answer: LCM of Numerators as per given numbers 38/244, 374/31, 791/990 is
LCM of Numerators i.e. for 38,374,791 is 5620846
GCF of denominators i.e. for 244,31,990 is 1.
Thus, LCM of Fractions is 5620846.Finally, LCM of Fractions for 38/244, 374/31, 791/990 is 5620846.