Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1758/427, 3082/9944 quickly i.e. 2709078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1758/427, 3082/9944 is 2709078.
LCM(1758/427, 3082/9944) = 2709078
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1758/427,3082/9944
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 1758,3082
Least Common Multiple of Numerators i.e. LCM of 1758,3082 is 2709078.
GCF of Denominators means GCF of 427,9944 as per the given fractions.
GCF of 427,9944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1758,3082
2 | 1758, 3082 |
879, 1541 |
∴ So the LCM of the given numbers is 2 x 879 x 1541 = 2709078
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 1758,3082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1758,3082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1758,3082) x common factors =2 x 1 = 2
LCM(1758,3082) = ( 1758 × 3082 ) / 2
LCM(1758,3082) = 5418156 / 2
LCM(1758,3082) = 2709078
Lets's calculate GCF of 427,9944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2709078/1
Therefore the LCM of Fractions 1758/427,3082/9944 is 2709078
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 9944
List of positive integer factors of 9944 that divides 9944 without a remainder.
1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944
Greatest Common Factor
We found the factors 427,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 427,9944 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 1758/427, 3082/9944?
Answer: LCM of Numerators as per given numbers 1758/427, 3082/9944 is
LCM of Numerators i.e. for 1758,3082 is 2709078
GCF of denominators i.e. for 427,9944 is 1.
Thus, LCM of Fractions is 2709078.Finally, LCM of Fractions for 1758/427, 3082/9944 is 2709078.