Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1343/963, 3476/867 quickly i.e. 59092/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1343/963, 3476/867 is 59092/3.
LCM(1343/963, 3476/867) = 59092/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1343/963,3476/867
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 1343,3476
Least Common Multiple of Numerators i.e. LCM of 1343,3476 is 59092.
GCF of Denominators means GCF of 963,867 as per the given fractions.
GCF of 963,867 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1343,3476
79 | 1343, 3476 |
17, 44 |
∴ So the LCM of the given numbers is 79 x 17 x 44 = 59092
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 1343,3476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1343,3476) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(1343,3476) x common factors =79 x 1 = 79
LCM(1343,3476) = ( 1343 × 3476 ) / 79
LCM(1343,3476) = 4668268 / 79
LCM(1343,3476) = 59092
Lets's calculate GCF of 963,867
3 | 963, 867 |
321, 289 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59092/3
Therefore the LCM of Fractions 1343/963,3476/867 is 59092/3
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 963,867 . The biggest common factor number is the GCF number.
So the greatest common factor 963,867 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 1343/963, 3476/867?
Answer: LCM of Numerators as per given numbers 1343/963, 3476/867 is
LCM of Numerators i.e. for 1343,3476 is 59092
GCF of denominators i.e. for 963,867 is 3.
Thus, LCM of Fractions is 59092/3.Finally, LCM of Fractions for 1343/963, 3476/867 is 59092/3.