Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3337/27, 4284/560 quickly i.e. 14295708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3337/27, 4284/560 is 14295708.
LCM(3337/27, 4284/560) = 14295708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3337/27,4284/560
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 3337,4284
Least Common Multiple of Numerators i.e. LCM of 3337,4284 is 14295708.
GCF of Denominators means GCF of 27,560 as per the given fractions.
GCF of 27,560 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3337,4284
Given numbers has no common factors except 1. So, there LCM is their product i.e 14295708
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 3337,4284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3337,4284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3337,4284) x common factors =1 x 1 = 1
LCM(3337,4284) = ( 3337 × 4284 ) / 1
LCM(3337,4284) = 14295708 / 1
LCM(3337,4284) = 14295708
Lets's calculate GCF of 27,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14295708/1
Therefore the LCM of Fractions 3337/27,4284/560 is 14295708
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 27,560 . The biggest common factor number is the GCF number.
So the greatest common factor 27,560 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 3337/27, 4284/560?
Answer: LCM of Numerators as per given numbers 3337/27, 4284/560 is
LCM of Numerators i.e. for 3337,4284 is 14295708
GCF of denominators i.e. for 27,560 is 1.
Thus, LCM of Fractions is 14295708.Finally, LCM of Fractions for 3337/27, 4284/560 is 14295708.