Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8014/360, 6696/514 quickly i.e. 13415436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8014/360, 6696/514 is 13415436.
LCM(8014/360, 6696/514) = 13415436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8014/360,6696/514
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 8014,6696
Least Common Multiple of Numerators i.e. LCM of 8014,6696 is 26830872.
GCF of Denominators means GCF of 360,514 as per the given fractions.
GCF of 360,514 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8014,6696
2 | 8014, 6696 |
4007, 3348 |
∴ So the LCM of the given numbers is 2 x 4007 x 3348 = 26830872
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 8014,6696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8014,6696) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8014,6696) x common factors =2 x 1 = 2
LCM(8014,6696) = ( 8014 × 6696 ) / 2
LCM(8014,6696) = 53661744 / 2
LCM(8014,6696) = 26830872
Lets's calculate GCF of 360,514
2 | 360, 514 |
180, 257 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26830872/2
Therefore the LCM of Fractions 8014/360,6696/514 is 13415436
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Greatest Common Factor
We found the factors 360,514 . The biggest common factor number is the GCF number.
So the greatest common factor 360,514 is 2.
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 8014/360, 6696/514?
Answer: LCM of Numerators as per given numbers 8014/360, 6696/514 is
LCM of Numerators i.e. for 8014,6696 is 26830872
GCF of denominators i.e. for 360,514 is 2.
Thus, LCM of Fractions is 13415436.Finally, LCM of Fractions for 8014/360, 6696/514 is 13415436.