Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6279/966, 6805/1371 quickly i.e. 14242865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6279/966, 6805/1371 is 14242865.
LCM(6279/966, 6805/1371) = 14242865
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6279/966,6805/1371
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 6279,6805
Least Common Multiple of Numerators i.e. LCM of 6279,6805 is 42728595.
GCF of Denominators means GCF of 966,1371 as per the given fractions.
GCF of 966,1371 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6279,6805
Given numbers has no common factors except 1. So, there LCM is their product i.e 42728595
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 6279,6805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6279,6805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6279,6805) x common factors =1 x 1 = 1
LCM(6279,6805) = ( 6279 × 6805 ) / 1
LCM(6279,6805) = 42728595 / 1
LCM(6279,6805) = 42728595
Lets's calculate GCF of 966,1371
3 | 966, 1371 |
322, 457 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42728595/3
Therefore the LCM of Fractions 6279/966,6805/1371 is 14242865
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1,3,457,1371
Greatest Common Factor
We found the factors 966,1371 . The biggest common factor number is the GCF number.
So the greatest common factor 966,1371 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 6279/966, 6805/1371?
Answer: LCM of Numerators as per given numbers 6279/966, 6805/1371 is
LCM of Numerators i.e. for 6279,6805 is 42728595
GCF of denominators i.e. for 966,1371 is 3.
Thus, LCM of Fractions is 14242865.Finally, LCM of Fractions for 6279/966, 6805/1371 is 14242865.