Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5343/949, 7791/143 quickly i.e. 1067367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5343/949, 7791/143 is 1067367.
LCM(5343/949, 7791/143) = 1067367
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5343/949,7791/143
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 5343,7791
Least Common Multiple of Numerators i.e. LCM of 5343,7791 is 13875771.
GCF of Denominators means GCF of 949,143 as per the given fractions.
GCF of 949,143 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5343,7791
3 | 5343, 7791 |
1781, 2597 |
∴ So the LCM of the given numbers is 3 x 1781 x 2597 = 13875771
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 5343,7791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5343,7791) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5343,7791) x common factors =3 x 1 = 3
LCM(5343,7791) = ( 5343 × 7791 ) / 3
LCM(5343,7791) = 41627313 / 3
LCM(5343,7791) = 13875771
Lets's calculate GCF of 949,143
13 | 949, 143 |
73, 11 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13875771/13
Therefore the LCM of Fractions 5343/949,7791/143 is 1067367
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 949,143 . The biggest common factor number is the GCF number.
So the greatest common factor 949,143 is 13.
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 5343/949, 7791/143?
Answer: LCM of Numerators as per given numbers 5343/949, 7791/143 is
LCM of Numerators i.e. for 5343,7791 is 13875771
GCF of denominators i.e. for 949,143 is 13.
Thus, LCM of Fractions is 1067367.Finally, LCM of Fractions for 5343/949, 7791/143 is 1067367.