Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 873/29, 652/1949 quickly i.e. 569196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 873/29, 652/1949 is 569196.
LCM(873/29, 652/1949) = 569196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 873/29,652/1949
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 873,652
Least Common Multiple of Numerators i.e. LCM of 873,652 is 569196.
GCF of Denominators means GCF of 29,1949 as per the given fractions.
GCF of 29,1949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 873,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 569196
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 873,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,652) x common factors =1 x 1 = 1
LCM(873,652) = ( 873 × 652 ) / 1
LCM(873,652) = 569196 / 1
LCM(873,652) = 569196
Lets's calculate GCF of 29,1949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569196/1
Therefore the LCM of Fractions 873/29,652/1949 is 569196
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 1949
List of positive integer factors of 1949 that divides 1949 without a remainder.
1,1949
Greatest Common Factor
We found the factors 29,1949 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1949 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 873/29, 652/1949?
Answer: LCM of Numerators as per given numbers 873/29, 652/1949 is
LCM of Numerators i.e. for 873,652 is 569196
GCF of denominators i.e. for 29,1949 is 1.
Thus, LCM of Fractions is 569196.Finally, LCM of Fractions for 873/29, 652/1949 is 569196.