Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 556/427, 9775/7437 quickly i.e. 5434900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 556/427, 9775/7437 is 5434900.
LCM(556/427, 9775/7437) = 5434900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 556/427,9775/7437
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 556,9775
Least Common Multiple of Numerators i.e. LCM of 556,9775 is 5434900.
GCF of Denominators means GCF of 427,7437 as per the given fractions.
GCF of 427,7437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 556,9775
Given numbers has no common factors except 1. So, there LCM is their product i.e 5434900
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 556,9775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,9775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,9775) x common factors =1 x 1 = 1
LCM(556,9775) = ( 556 × 9775 ) / 1
LCM(556,9775) = 5434900 / 1
LCM(556,9775) = 5434900
Lets's calculate GCF of 427,7437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5434900/1
Therefore the LCM of Fractions 556/427,9775/7437 is 5434900
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 7437
List of positive integer factors of 7437 that divides 7437 without a remainder.
1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 427,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 427,7437 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 556/427, 9775/7437?
Answer: LCM of Numerators as per given numbers 556/427, 9775/7437 is
LCM of Numerators i.e. for 556,9775 is 5434900
GCF of denominators i.e. for 427,7437 is 1.
Thus, LCM of Fractions is 5434900.Finally, LCM of Fractions for 556/427, 9775/7437 is 5434900.