Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 177/52, 821/1831 quickly i.e. 145317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 177/52, 821/1831 is 145317.
LCM(177/52, 821/1831) = 145317
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 177/52,821/1831
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 177,821
Least Common Multiple of Numerators i.e. LCM of 177,821 is 145317.
GCF of Denominators means GCF of 52,1831 as per the given fractions.
GCF of 52,1831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 177,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 145317
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 177,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,821) x common factors =1 x 1 = 1
LCM(177,821) = ( 177 × 821 ) / 1
LCM(177,821) = 145317 / 1
LCM(177,821) = 145317
Lets's calculate GCF of 52,1831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145317/1
Therefore the LCM of Fractions 177/52,821/1831 is 145317
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 1831
List of positive integer factors of 1831 that divides 1831 without a remainder.
1,1831
Greatest Common Factor
We found the factors 52,1831 . The biggest common factor number is the GCF number.
So the greatest common factor 52,1831 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 177/52, 821/1831?
Answer: LCM of Numerators as per given numbers 177/52, 821/1831 is
LCM of Numerators i.e. for 177,821 is 145317
GCF of denominators i.e. for 52,1831 is 1.
Thus, LCM of Fractions is 145317.Finally, LCM of Fractions for 177/52, 821/1831 is 145317.