Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/988, 1333/3046 quickly i.e. 774473/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/988, 1333/3046 is 774473/2.
LCM(581/988, 1333/3046) = 774473/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/988,1333/3046
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 581,1333
Least Common Multiple of Numerators i.e. LCM of 581,1333 is 774473.
GCF of Denominators means GCF of 988,3046 as per the given fractions.
GCF of 988,3046 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,1333
Given numbers has no common factors except 1. So, there LCM is their product i.e 774473
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 581,1333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,1333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,1333) x common factors =1 x 1 = 1
LCM(581,1333) = ( 581 × 1333 ) / 1
LCM(581,1333) = 774473 / 1
LCM(581,1333) = 774473
Lets's calculate GCF of 988,3046
2 | 988, 3046 |
494, 1523 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774473/2
Therefore the LCM of Fractions 581/988,1333/3046 is 774473/2
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 3046
List of positive integer factors of 3046 that divides 3046 without a remainder.
1,2,1523,3046
Greatest Common Factor
We found the factors 988,3046 . The biggest common factor number is the GCF number.
So the greatest common factor 988,3046 is 2.
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 581/988, 1333/3046?
Answer: LCM of Numerators as per given numbers 581/988, 1333/3046 is
LCM of Numerators i.e. for 581,1333 is 774473
GCF of denominators i.e. for 988,3046 is 2.
Thus, LCM of Fractions is 774473/2.Finally, LCM of Fractions for 581/988, 1333/3046 is 774473/2.