Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2558/318, 3941/699 quickly i.e. 10081078/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2558/318, 3941/699 is 10081078/3.
LCM(2558/318, 3941/699) = 10081078/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2558/318,3941/699
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 2558,3941
Least Common Multiple of Numerators i.e. LCM of 2558,3941 is 10081078.
GCF of Denominators means GCF of 318,699 as per the given fractions.
GCF of 318,699 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2558,3941
Given numbers has no common factors except 1. So, there LCM is their product i.e 10081078
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 2558,3941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2558,3941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2558,3941) x common factors =1 x 1 = 1
LCM(2558,3941) = ( 2558 × 3941 ) / 1
LCM(2558,3941) = 10081078 / 1
LCM(2558,3941) = 10081078
Lets's calculate GCF of 318,699
3 | 318, 699 |
106, 233 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10081078/3
Therefore the LCM of Fractions 2558/318,3941/699 is 10081078/3
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 318,699 . The biggest common factor number is the GCF number.
So the greatest common factor 318,699 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 2558/318, 3941/699?
Answer: LCM of Numerators as per given numbers 2558/318, 3941/699 is
LCM of Numerators i.e. for 2558,3941 is 10081078
GCF of denominators i.e. for 318,699 is 3.
Thus, LCM of Fractions is 10081078/3.Finally, LCM of Fractions for 2558/318, 3941/699 is 10081078/3.