Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/222, 2546/8671 quickly i.e. 134938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/222, 2546/8671 is 134938.
LCM(53/222, 2546/8671) = 134938
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/222,2546/8671
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 53,2546
Least Common Multiple of Numerators i.e. LCM of 53,2546 is 134938.
GCF of Denominators means GCF of 222,8671 as per the given fractions.
GCF of 222,8671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,2546
Given numbers has no common factors except 1. So, there LCM is their product i.e 134938
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 53,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,2546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,2546) x common factors =1 x 1 = 1
LCM(53,2546) = ( 53 × 2546 ) / 1
LCM(53,2546) = 134938 / 1
LCM(53,2546) = 134938
Lets's calculate GCF of 222,8671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134938/1
Therefore the LCM of Fractions 53/222,2546/8671 is 134938
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 8671
List of positive integer factors of 8671 that divides 8671 without a remainder.
1,13,23,29,299,377,667,8671
Greatest Common Factor
We found the factors 222,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 222,8671 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 53/222, 2546/8671?
Answer: LCM of Numerators as per given numbers 53/222, 2546/8671 is
LCM of Numerators i.e. for 53,2546 is 134938
GCF of denominators i.e. for 222,8671 is 1.
Thus, LCM of Fractions is 134938.Finally, LCM of Fractions for 53/222, 2546/8671 is 134938.