Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2968/568, 6006/1277 quickly i.e. 1273272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2968/568, 6006/1277 is 1273272.
LCM(2968/568, 6006/1277) = 1273272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2968/568,6006/1277
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 2968,6006
Least Common Multiple of Numerators i.e. LCM of 2968,6006 is 1273272.
GCF of Denominators means GCF of 568,1277 as per the given fractions.
GCF of 568,1277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2968,6006
2 | 2968, 6006 |
7 | 1484, 3003 |
212, 429 |
∴ So the LCM of the given numbers is 2 x 7 x 212 x 429 = 1273272
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 2968,6006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2968,6006) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(2968,6006) x common factors =14 x 1 = 14
LCM(2968,6006) = ( 2968 × 6006 ) / 14
LCM(2968,6006) = 17825808 / 14
LCM(2968,6006) = 1273272
Lets's calculate GCF of 568,1277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1273272/1
Therefore the LCM of Fractions 2968/568,6006/1277 is 1273272
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 1277
List of positive integer factors of 1277 that divides 1277 without a remainder.
1,1277
Greatest Common Factor
We found the factors 568,1277 . The biggest common factor number is the GCF number.
So the greatest common factor 568,1277 is 1.
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 2968/568, 6006/1277?
Answer: LCM of Numerators as per given numbers 2968/568, 6006/1277 is
LCM of Numerators i.e. for 2968,6006 is 1273272
GCF of denominators i.e. for 568,1277 is 1.
Thus, LCM of Fractions is 1273272.Finally, LCM of Fractions for 2968/568, 6006/1277 is 1273272.