Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2332/608, 2641/588 quickly i.e. 1539703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2332/608, 2641/588 is 1539703.
LCM(2332/608, 2641/588) = 1539703
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2332/608,2641/588
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 2332,2641
Least Common Multiple of Numerators i.e. LCM of 2332,2641 is 6158812.
GCF of Denominators means GCF of 608,588 as per the given fractions.
GCF of 608,588 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2332,2641
Given numbers has no common factors except 1. So, there LCM is their product i.e 6158812
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 2332,2641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2332,2641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2332,2641) x common factors =1 x 1 = 1
LCM(2332,2641) = ( 2332 × 2641 ) / 1
LCM(2332,2641) = 6158812 / 1
LCM(2332,2641) = 6158812
Lets's calculate GCF of 608,588
2 | 608, 588 |
2 | 304, 294 |
152, 147 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6158812/4
Therefore the LCM of Fractions 2332/608,2641/588 is 1539703
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 608,588 . The biggest common factor number is the GCF number.
So the greatest common factor 608,588 is 4.
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 2332/608, 2641/588?
Answer: LCM of Numerators as per given numbers 2332/608, 2641/588 is
LCM of Numerators i.e. for 2332,2641 is 6158812
GCF of denominators i.e. for 608,588 is 4.
Thus, LCM of Fractions is 1539703.Finally, LCM of Fractions for 2332/608, 2641/588 is 1539703.