Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/707, 291/387, 847/732 quickly i.e. 203836479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/707, 291/387, 847/732 is 203836479.
LCM(827/707, 291/387, 847/732) = 203836479
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/707,291/387,847/732
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 827,291,847
Least Common Multiple of Numerators i.e. LCM of 827,291,847 is 203836479.
GCF of Denominators means GCF of 707,387,732 as per the given fractions.
GCF of 707,387,732 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,291,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 203836479
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 827,291,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,291,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,291,847) x common factors =1 x 1 = 1
LCM(827,291,847) = ( 827 × 291 × 847 ) / 1
LCM(827,291,847) = 203836479 / 1
LCM(827,291,847) = 203836479
Lets's calculate GCF of 707,387,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203836479/1
Therefore the LCM of Fractions 827/707,291/387,847/732 is 203836479
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 707,387,732 . The biggest common factor number is the GCF number.
So the greatest common factor 707,387,732 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 827/707, 291/387, 847/732?
Answer: LCM of Numerators as per given numbers 827/707, 291/387, 847/732 is
LCM of Numerators i.e. for 827,291,847 is 203836479
GCF of denominators i.e. for 707,387,732 is 1.
Thus, LCM of Fractions is 203836479.Finally, LCM of Fractions for 827/707, 291/387, 847/732 is 203836479.