Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3031/873, 2078/2595 quickly i.e. 6298418/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3031/873, 2078/2595 is 6298418/3.
LCM(3031/873, 2078/2595) = 6298418/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3031/873,2078/2595
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 3031,2078
Least Common Multiple of Numerators i.e. LCM of 3031,2078 is 6298418.
GCF of Denominators means GCF of 873,2595 as per the given fractions.
GCF of 873,2595 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3031,2078
Given numbers has no common factors except 1. So, there LCM is their product i.e 6298418
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 3031,2078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3031,2078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3031,2078) x common factors =1 x 1 = 1
LCM(3031,2078) = ( 3031 × 2078 ) / 1
LCM(3031,2078) = 6298418 / 1
LCM(3031,2078) = 6298418
Lets's calculate GCF of 873,2595
3 | 873, 2595 |
291, 865 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6298418/3
Therefore the LCM of Fractions 3031/873,2078/2595 is 6298418/3
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 2595
List of positive integer factors of 2595 that divides 2595 without a remainder.
1,3,5,15,173,519,865,2595
Greatest Common Factor
We found the factors 873,2595 . The biggest common factor number is the GCF number.
So the greatest common factor 873,2595 is 3.
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 3031/873, 2078/2595?
Answer: LCM of Numerators as per given numbers 3031/873, 2078/2595 is
LCM of Numerators i.e. for 3031,2078 is 6298418
GCF of denominators i.e. for 873,2595 is 3.
Thus, LCM of Fractions is 6298418/3.Finally, LCM of Fractions for 3031/873, 2078/2595 is 6298418/3.