Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 201/55, 847/2124 quickly i.e. 170247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 201/55, 847/2124 is 170247.
LCM(201/55, 847/2124) = 170247
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 201/55,847/2124
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 201,847
Least Common Multiple of Numerators i.e. LCM of 201,847 is 170247.
GCF of Denominators means GCF of 55,2124 as per the given fractions.
GCF of 55,2124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 201,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 170247
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 201,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,847) x common factors =1 x 1 = 1
LCM(201,847) = ( 201 × 847 ) / 1
LCM(201,847) = 170247 / 1
LCM(201,847) = 170247
Lets's calculate GCF of 55,2124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170247/1
Therefore the LCM of Fractions 201/55,847/2124 is 170247
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 2124
List of positive integer factors of 2124 that divides 2124 without a remainder.
1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 55,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 55,2124 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 201/55, 847/2124?
Answer: LCM of Numerators as per given numbers 201/55, 847/2124 is
LCM of Numerators i.e. for 201,847 is 170247
GCF of denominators i.e. for 55,2124 is 1.
Thus, LCM of Fractions is 170247.Finally, LCM of Fractions for 201/55, 847/2124 is 170247.