Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/554, 9993/847 quickly i.e. 5895870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/554, 9993/847 is 5895870.
LCM(590/554, 9993/847) = 5895870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/554,9993/847
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 590,9993
Least Common Multiple of Numerators i.e. LCM of 590,9993 is 5895870.
GCF of Denominators means GCF of 554,847 as per the given fractions.
GCF of 554,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,9993
Given numbers has no common factors except 1. So, there LCM is their product i.e 5895870
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 590,9993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,9993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,9993) x common factors =1 x 1 = 1
LCM(590,9993) = ( 590 × 9993 ) / 1
LCM(590,9993) = 5895870 / 1
LCM(590,9993) = 5895870
Lets's calculate GCF of 554,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5895870/1
Therefore the LCM of Fractions 590/554,9993/847 is 5895870
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
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 554,847 . The biggest common factor number is the GCF number.
So the greatest common factor 554,847 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 590/554, 9993/847?
Answer: LCM of Numerators as per given numbers 590/554, 9993/847 is
LCM of Numerators i.e. for 590,9993 is 5895870
GCF of denominators i.e. for 554,847 is 1.
Thus, LCM of Fractions is 5895870.Finally, LCM of Fractions for 590/554, 9993/847 is 5895870.