Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/581, 2578/847 quickly i.e. 510444/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/581, 2578/847 is 510444/7.
LCM(396/581, 2578/847) = 510444/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/581,2578/847
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 396,2578
Least Common Multiple of Numerators i.e. LCM of 396,2578 is 510444.
GCF of Denominators means GCF of 581,847 as per the given fractions.
GCF of 581,847 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,2578
2 | 396, 2578 |
198, 1289 |
∴ So the LCM of the given numbers is 2 x 198 x 1289 = 510444
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 396,2578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,2578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(396,2578) x common factors =2 x 1 = 2
LCM(396,2578) = ( 396 × 2578 ) / 2
LCM(396,2578) = 1020888 / 2
LCM(396,2578) = 510444
Lets's calculate GCF of 581,847
7 | 581, 847 |
83, 121 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510444/7
Therefore the LCM of Fractions 396/581,2578/847 is 510444/7
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 581,847 . The biggest common factor number is the GCF number.
So the greatest common factor 581,847 is 7.
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 396/581, 2578/847?
Answer: LCM of Numerators as per given numbers 396/581, 2578/847 is
LCM of Numerators i.e. for 396,2578 is 510444
GCF of denominators i.e. for 581,847 is 7.
Thus, LCM of Fractions is 510444/7.Finally, LCM of Fractions for 396/581, 2578/847 is 510444/7.